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202221020120012 = 22296127154112197
BaseRepresentation
bin101101111110101101000000…
…000100100000001111001100
3222112000010210120211022212022
4231332231000010200033030
5203001142122122320022
61554031015410425312
760410662251663365
oct5576550004401714
9875003716738768
10202221020120012
11594854a8a6a643
121a81b956592238
1388ab48b98014a
1437d179a144b6c
15185a375ab4c42
hexb7eb401203cc

202221020120012 has 144 divisors (see below), whose sum is σ = 378160399431360. Its totient is φ = 94488363648000.

The previous prime is 202221020120011. The next prime is 202221020120027. The reversal of 202221020120012 is 210021020122202.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (202221020120011) 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, 16579564298 + ... + 16579576494.

It is an arithmetic number, because the mean of its divisors is an integer number (2626113884940).

Almost surely, 2202221020120012 is an apocalyptic number.

It is an amenable number.

202221020120012 is a deficient number, since it is larger than the sum of its proper divisors (175939379311348).

202221020120012 is a wasteful number, since it uses less digits than its factorization.

202221020120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12964 (or 12901 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 202221020120012 its reverse (210021020122202), we get a palindrome (412242040242214).

The spelling of 202221020120012 in words is "two hundred two trillion, two hundred twenty-one billion, twenty million, one hundred twenty thousand, twelve".

Divisors: 1 2 4 29 58 61 71 116 122 142 244 284 541 1082 1769 2059 2164 3538 3721 4118 4331 7076 7442 8236 8662 12197 14884 15689 17324 24394 31378 33001 38411 48788 62756 66002 76822 107909 125599 132004 153644 215818 251198 264191 353713 431636 502396 528382 707426 744017 865987 957029 1056764 1113919 1414852 1488034 1731974 1914058 2013061 2227838 2343071 2976068 3463948 3828116 4026122 4455676 4686142 6598577 7661539 8052244 9372284 13197154 15323078 21576493 25113623 26394308 30646156 43152986 45385037 50227246 52825207 58378769 67949059 86305972 90770074 100454492 105650414 116757538 135898118 142927331 181540148 191358733 211300828 233515076 271796236 285854662 382717466 402513197 468498967 571709324 765434932 805026394 936997934 1316166073 1531931003 1610052788 1873995868 2632332146 3063862006 3222337627 4144892599 5264664292 6127724012 6444675254 8289785198 11672882713 12889350508 13586470043 16579570396 23345765426 24553305017 27172940086 28578436987 46691530852 49106610034 54345880172 57156873974 93447791183 98213220068 114313747948 186895582366 373791164732 712045845493 828774672623 1424091690986 1657549345246 1743284656207 2848183381972 3315098690492 3486569312414 6973138624828 50555255030003 101110510060006 202221020120012