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12124402104100 = 22521113847860287
BaseRepresentation
bin1011000001101110111010…
…1011100011011100100100
31120221002012102120202212111
42300123232223203130210
53042121233414312400
641441512354530404
72360646662315446
oct260335653433444
946832172522774
1012124402104100
113954a259a5990
121439959896a04
1369c4318c5880
142dcb7782a496
151605b45c83ba
hexb06eeae3724

12124402104100 has 72 divisors (see below), whose sum is σ = 30909594659328. Its totient is φ = 4069729372800.

The previous prime is 12124402104097. The next prime is 12124402104181. The reversal of 12124402104100 is 140120442121.

It is a super-2 number, since 2×121244021041002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 423915844 + ... + 423944443.

It is an arithmetic number, because the mean of its divisors is an integer number (429299925824).

Almost surely, 212124402104100 is an apocalyptic number.

12124402104100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12124402104100 is an abundant number, since it is smaller than the sum of its proper divisors (18785192555228).

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

12124402104100 is a wasteful number, since it uses less digits than its factorization.

12124402104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847860325 (or 847860318 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 12124402104100 its reverse (140120442121), we get a palindrome (12264522546221).

The spelling of 12124402104100 in words is "twelve trillion, one hundred twenty-four billion, four hundred two million, one hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 1100 1300 1430 2860 3575 7150 14300 847860287 1695720574 3391441148 4239301435 8478602870 9326463157 11022183731 16957205740 18652926314 21196507175 22044367462 37305852628 42393014350 44088734924 46632315785 55110918655 84786028700 93264631570 110221837310 121244021041 186529263140 220443674620 233161578925 242488042082 275554593275 466323157850 484976084164 551109186550 606220105205 932646315700 1102218373100 1212440210410 2424880420820 3031100526025 6062201052050 12124402104100