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12002212002100 = 2252314194431251
BaseRepresentation
bin1010111010100111101110…
…0101010011100100110100
31120111101210210100110020011
42232221323211103210310
53033121012233031400
641305423504550004
72346063000510145
oct256517345234464
946441723313204
1012002212002100
113908122861811
12141a138622304
13690a5aa64178
142d6ca56a1acc
1515c31220d8ba
hexaea7b953934

12002212002100 has 72 divisors (see below), whose sum is σ = 27540685783296. Its totient is φ = 4532700000000.

The previous prime is 12002212002073. The next prime is 12002212002113. The reversal of 12002212002100 is 120021220021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47088526 + ... + 47342725.

It is an arithmetic number, because the mean of its divisors is an integer number (382509524768).

Almost surely, 212002212002100 is an apocalyptic number.

12002212002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002212002100 is an abundant number, since it is smaller than the sum of its proper divisors (15538473781196).

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

12002212002100 is a wasteful number, since it uses less digits than its factorization.

12002212002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94431337 (or 94431330 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12002212002100 its reverse (120021220021), we get a palindrome (12122233222121).

The spelling of 12002212002100 in words is "twelve trillion, two billion, two hundred twelve million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 41 50 62 82 100 124 155 164 205 310 410 620 775 820 1025 1271 1550 2050 2542 3100 4100 5084 6355 12710 25420 31775 63550 127100 94431251 188862502 377725004 472156255 944312510 1888625020 2360781275 2927368781 3871681291 4721562550 5854737562 7743362582 9443125100 11709475124 14636843905 15486725164 19358406455 29273687810 38716812910 58547375620 73184219525 77433625820 96792032275 120022120021 146368439050 193584064550 240044240042 292736878100 387168129100 480088480084 600110600105 1200221200210 2400442400420 3000553000525 6001106001050 12002212002100