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122212231020 = 2232511364316943
BaseRepresentation
bin111000111010001101…
…0101010011101101100
3102200110011212120221200
41301310122222131230
54000242312343040
6132051000125500
711554350552345
oct1616432523554
9380404776850
10122212231020
1147914689020
121b828766890
13b6a860bbc9
145cb50890cc
1532a42db630
hex1c746aa76c

122212231020 has 144 divisors (see below), whose sum is σ = 404546268672. Its totient is φ = 29617326720.

The previous prime is 122212230991. The next prime is 122212231051. The reversal of 122212231020 is 20132212221.

122212231020 is a `hidden beast` number, since 122 + 212 + 2 + 310 + 20 = 666.

122212231020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 122212230984 and 122212231002.

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, 7204669 + ... + 7221611.

It is an arithmetic number, because the mean of its divisors is an integer number (2809349088).

Almost surely, 2122212231020 is an apocalyptic number.

122212231020 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 122212231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202273134336).

122212231020 is an abundant number, since it is smaller than the sum of its proper divisors (282334037652).

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

122212231020 is a wasteful number, since it uses less digits than its factorization.

122212231020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20612 (or 20607 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122212231020 its reverse (20132212221), we get a palindrome (142344443241).

The spelling of 122212231020 in words is "one hundred twenty-two billion, two hundred twelve million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 3643 7286 10929 14572 16943 18215 21858 32787 33886 36430 40073 43716 50829 54645 65574 67772 72860 80146 84715 101658 109290 120219 131148 152487 160292 163935 169430 186373 200365 203316 218580 240438 254145 304974 327870 338860 360657 372746 400730 480876 508290 559119 601095 609948 655740 721314 745492 762435 801460 931865 1016580 1118238 1202190 1442628 1524870 1677357 1803285 1863730 2236476 2404380 2795595 3049740 3354714 3606570 3727460 5591190 6709428 7213140 8386785 11182380 16773570 33547140 61723349 123446698 185170047 246893396 308616745 370340094 555510141 617233490 678956839 740680188 925850235 1111020282 1234466980 1357913678 1851700470 2036870517 2222040564 2715827356 2777550705 3394784195 3703400940 4073741034 5555101410 6110611551 6789568390 8147482068 10184352585 11110202820 12221223102 13579136780 20368705170 24442446204 30553057755 40737410340 61106115510 122212231020