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102222112221200 = 245212231432114591
BaseRepresentation
bin10111001111100001110000…
…101011111110100000010000
3111101221100010202111021202202
4113033201300223332200100
5101344301341212034300
61001224105015302332
730350206143315446
oct2717416053764020
9441840122437682
10102222112221200
112a631177473234
12b56b3b667a9a8
134506671b8082a
141b358103b6b96
15bc407211aad5
hex5cf870afe810

102222112221200 has 120 divisors (see below), whose sum is σ = 245823442292736. Its totient is φ = 40849758976000.

The previous prime is 102222112221199. The next prime is 102222112221233. The reversal of 102222112221200 is 2122211222201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7005825905 + ... + 7005840495.

Almost surely, 2102222112221200 is an apocalyptic number.

102222112221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102222112221200 is an abundant number, since it is smaller than the sum of its proper divisors (143601330071536).

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

102222112221200 is a wasteful number, since it uses less digits than its factorization.

102222112221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30153 (or 30142 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 102222112221200 its reverse (2122211222201), we get a palindrome (104344323443401).

The spelling of 102222112221200 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred twelve million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1223 2446 4892 6115 9784 12230 14321 14591 19568 24460 28642 29182 30575 48920 57284 58364 61150 71605 72955 97840 114568 116728 122300 143210 145910 229136 233456 244600 286420 291820 358025 364775 489200 572840 583640 716050 729550 1145680 1167280 1432100 1459100 2864200 2918200 5728400 5836400 17514583 17844793 35029166 35689586 70058332 71379172 87572915 89223965 140116664 142758344 175145830 178447930 208957711 280233328 285516688 350291660 356895860 417915422 437864575 446119825 700583320 713791720 835830844 875729150 892239650 1044788555 1401166640 1427583440 1671661688 1751458300 1784479300 2089577110 3343323376 3502916600 3568958600 4179154220 5223942775 7005833200 7137917200 8358308440 10447885550 16716616880 20895771100 41791542200 83583084400 255555280553 511110561106 1022221122212 1277776402765 2044442244424 2555552805530 4088884488848 5111105611060 6388882013825 10222211222120 12777764027650 20444422444240 25555528055300 51111056110600 102222112221200