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120212210012220 = 2232527113611810709
BaseRepresentation
bin11011010101010100010110…
…000100110101000000111100
3120202122011201121100121101200
4123111110112010311000330
5111224024101230342340
61103400421001535500
734215021425422344
oct3325242604650074
9522564647317350
10120212210012220
11353377916982a7
1211595b21aa4590
13520cc69261c41
1421984329d9d24
15dd6ede9d1330
hex6d551613503c

120212210012220 has 144 divisors (see below), whose sum is σ = 366258366714240. Its totient is φ = 31914814924800.

The previous prime is 120212210012207. The next prime is 120212210012239. The reversal of 120212210012220 is 22210012212021.

It is a happy number.

120212210012220 is a `hidden beast` number, since 1 + 20 + 212 + 210 + 0 + 1 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120212210012193 and 120212210012202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65484226 + ... + 67294934.

It is an arithmetic number, because the mean of its divisors is an integer number (2543460879960).

Almost surely, 2120212210012220 is an apocalyptic number.

120212210012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120212210012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183129183357120).

120212210012220 is an abundant number, since it is smaller than the sum of its proper divisors (246046156702020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120212210012220 is a wasteful number, since it uses less digits than its factorization.

120212210012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812356 (or 1812351 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120212210012220 its reverse (22210012212021), we get a palindrome (142422222224241).

The spelling of 120212210012220 in words is "one hundred twenty trillion, two hundred twelve billion, two hundred ten million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 271 542 813 1084 1355 1361 1626 2439 2710 2722 3252 4065 4083 4878 5420 5444 6805 8130 8166 9756 12195 12249 13610 16260 16332 20415 24390 24498 27220 40830 48780 48996 61245 81660 122490 244980 368831 737662 1106493 1475324 1810709 1844155 2212986 3319479 3621418 3688310 4425972 5432127 5532465 6638958 7242836 7376620 9053545 10864254 11064930 13277916 16296381 16597395 18107090 21728508 22129860 27160635 32592762 33194790 36214180 54321270 65185524 66389580 81481905 108642540 162963810 325927620 490702139 981404278 1472106417 1962808556 2453510695 2464374949 2944212834 4416319251 4907021390 4928749898 5888425668 7360532085 7393124847 8832638502 9814042780 9857499796 12321874745 14721064170 14786249694 17665277004 22081596255 22179374541 24643749490 29442128340 29572499388 36965624235 44163192510 44358749082 49287498980 73931248470 88326385020 88717498164 110896872705 147862496940 221793745410 443587490820 667845611179 1335691222358 2003536833537 2671382444716 3339228055895 4007073667074 6010610500611 6678456111790 8014147334148 10017684167685 12021221001222 13356912223580 20035368335370 24042442002444 30053052503055 40070736670740 60106105006110 120212210012220