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121021221022212 = 223721795483209707
BaseRepresentation
bin11011100001000101110010…
…111000111010101000000100
3120212111111220222022002021010
4123201011302320322220010
5111330302430040202322
61105220214215322220
734330331450512500
oct3341056270725004
9525444828262233
10121021221022212
11356198a2283195
12116a6882080370
13526b338045094
1421c565ba01300
15ded08de2720c
hex6e1172e3aa04

121021221022212 has 144 divisors (see below), whose sum is σ = 330383109692160. Its totient is φ = 34377886363968.

The previous prime is 121021221022187. The next prime is 121021221022213. The reversal of 121021221022212 is 212220122120121.

It is a super-2 number, since 2×1210212210222122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (121021221022213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576991863 + ... + 577201569.

It is an arithmetic number, because the mean of its divisors is an integer number (2294327150640).

Almost surely, 2121021221022212 is an apocalyptic number.

121021221022212 is a gapful number since it is divisible by the number (12) 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 121021221022212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165191554846080).

121021221022212 is an abundant number, since it is smaller than the sum of its proper divisors (209361888669948).

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

121021221022212 is a wasteful number, since it uses less digits than its factorization.

121021221022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215390 (or 215381 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 121021221022212 its reverse (212220122120121), we get a palindrome (333241343142333).

The spelling of 121021221022212 in words is "one hundred twenty-one trillion, twenty-one billion, two hundred twenty-one million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 179 196 294 358 537 588 716 1074 1253 2148 2506 3759 5012 5483 7518 8771 10966 15036 16449 17542 21932 26313 32898 35084 38381 52626 65796 76762 105252 115143 153524 209707 230286 268667 419414 460572 537334 629121 806001 838828 981457 1074668 1258242 1467949 1612002 1962914 2516484 2935898 2944371 3224004 3925828 4403847 5871796 5888742 6870199 8807694 10275643 11777484 13740398 17615388 20551286 20610597 27480796 30826929 37537553 41102572 41221194 48091393 61653858 75075106 82442388 96182786 112612659 123307716 144274179 150150212 192365572 225225318 262762871 288548358 450450636 525525742 577096716 788288613 1051051484 1149823481 1576577226 1839340097 2299646962 3153154452 3449470443 3678680194 4599293924 5518020291 6898940886 7357360388 8048764367 11036040582 13797881772 16097528734 22072081164 24146293101 32195057468 48292586202 56341350569 96585172404 112682701138 169024051707 205818403099 225365402276 338048103414 411636806198 617455209297 676096206828 823273612396 1234910418594 1440728821693 2469820837188 2881457643386 4322186465079 5762915286772 8644372930158 10085101751851 17288745860316 20170203503702 30255305255553 40340407007404 60510610511106 121021221022212