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22012000212120 = 2335894013513593
BaseRepresentation
bin1010000000101000100010…
…11101000001010010011000
32212221022211010211021221120
411000110101131001102120
510341121034023241440
6114452101233205240
74431212612446062
oct500242135012230
985838733737846
1022012000212120
1170172672a48a6
1225760a6400820
13c38951a55329
1456155a782732
152828b1626dd0
hex140511741498

22012000212120 has 128 divisors (see below), whose sum is σ = 66794748638400. Its totient is φ = 5802455588864.

The previous prime is 22012000212089. The next prime is 22012000212143. The reversal of 22012000212120 is 2121200021022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22012000212120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42602044 + ... + 43115636.

Almost surely, 222012000212120 is an apocalyptic number.

22012000212120 is a gapful number since it is divisible by the number (20) 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 22012000212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33397374319200).

22012000212120 is an abundant number, since it is smaller than the sum of its proper divisors (44782748426280).

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

22012000212120 is a wasteful number, since it uses less digits than its factorization.

22012000212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517709 (or 517705 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22012000212120 its reverse (2121200021022), we get a palindrome (24133200233142).

The spelling of 22012000212120 in words is "twenty-two trillion, twelve billion, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 890 1068 1335 1780 2136 2670 3560 4013 5340 8026 10680 12039 16052 20065 24078 32104 40130 48156 60195 80260 96312 120390 160520 240780 357157 481560 513593 714314 1027186 1071471 1428628 1540779 1785785 2054372 2142942 2567965 2857256 3081558 3571570 4108744 4285884 5135930 5357355 6163116 7143140 7703895 8571768 10271860 10714710 12326232 14286280 15407790 20543720 21429420 30815580 42858840 45709777 61631160 91419554 137129331 182839108 228548885 274258662 365678216 457097770 548517324 685646655 914195540 1097034648 1371293310 1828391080 2061048709 2742586620 4122097418 5485173240 6183146127 8244194836 10305243545 12366292254 16488389672 20610487090 24732584508 30915730635 41220974180 49465169016 61831461270 82441948360 123662922540 183433335101 247325845080 366866670202 550300005303 733733340404 917166675505 1100600010606 1467466680808 1834333351010 2201200021212 2751500026515 3668666702020 4402400042424 5503000053030 7337333404040 11006000106060 22012000212120