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12104241391872 = 28347323611213
BaseRepresentation
bin1011000000100011110100…
…0000100010100100000000
31120212011011101122110220000
42300020331000202210000
53041303441244014442
641424340044520000
72356334246145000
oct260107500424400
946764141573800
1012104241391872
11394741a788443
121435a71b50000
1369a56ab3b256
142dbbc406c000
1515ecd46b3d4c
hexb023d022900

12104241391872 has 1440 divisors, whose sum is σ = 44677398796800. Its totient is φ = 3251079659520.

The previous prime is 12104241391819. The next prime is 12104241391873. The reversal of 12104241391872 is 27819314240121.

12104241391872 is a `hidden beast` number, since 1 + 2 + 10 + 4 + 241 + 391 + 8 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (12104241391873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9978763938 + ... + 9978765150.

Almost surely, 212104241391872 is an apocalyptic number.

12104241391872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12104241391872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22338699398400).

12104241391872 is an abundant number, since it is smaller than the sum of its proper divisors (32573157404928).

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

12104241391872 is an equidigital number, since it uses as much as digits as its factorization.

12104241391872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12104241391872 in words is "twelve trillion, one hundred four billion, two hundred forty-one million, three hundred ninety-one thousand, eight hundred seventy-two".