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22121002201122 = 23211432819246233
BaseRepresentation
bin1010000011110011100100…
…11110100111000000100010
32220022202011200022001121100
411001321302132213000202
510344412303030413442
6115014125332135230
74442122025201346
oct501716236470042
986282150261540
1022121002201122
11705951205a530
122593246a67516
13c46003560486
1456693b1b5626
15285640cd284c
hex141e727a7022

22121002201122 has 96 divisors (see below), whose sum is σ = 53692363048896. Its totient is φ = 6524141299200.

The previous prime is 22121002201097. The next prime is 22121002201139. The reversal of 22121002201122 is 22110220012122.

It is a happy number.

22121002201122 is a `hidden beast` number, since 221 + 2 + 100 + 220 + 1 + 122 = 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 = 22121002201095 and 22121002201104.

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, 2230683 + ... + 7015550.

It is an arithmetic number, because the mean of its divisors is an integer number (559295448426).

Almost surely, 222121002201122 is an apocalyptic number.

22121002201122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22121002201122 is an abundant number, since it is smaller than the sum of its proper divisors (31571360847774).

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

22121002201122 is a wasteful number, since it uses less digits than its factorization.

22121002201122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9246576 (or 9246573 counting only the distinct ones).

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

Adding to 22121002201122 its reverse (22110220012122), we get a palindrome (44231222213244).

The spelling of 22121002201122 in words is "twenty-two trillion, one hundred twenty-one billion, two million, two hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 281 387 473 562 774 843 946 1419 1686 2529 2838 3091 4257 5058 6182 8514 9273 12083 18546 24166 27819 36249 55638 72498 108747 132913 217494 265826 398739 797478 1196217 2392434 9246233 18492466 27738699 55477398 83216097 101708563 166432194 203417126 305125689 397588019 610251378 795176038 915377067 1192764057 1830754134 2385528114 2598191473 3578292171 4373468209 5196382946 7156584342 7794574419 8746936418 13120404627 15589148838 23383723257 26240809254 28580106203 39361213881 46767446514 57160212406 78722427762 85740318609 111722233339 171480637218 223444466678 257220955827 335166700017 514441911654 670333400034 1005500100051 1228944566729 2011000200102 2457889133458 3686833700187 7373667400374 11060501100561 22121002201122