12102947985600 has 672 divisors, whose sum is σ = 49173747321600. Its totient is φ = 2877725491200.

The previous prime is 12102947985589. The next prime is 12102947985629. The reversal of 12102947985600 is 658974920121.

It is a happy number.

12102947985600 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 2 + 9 + 4 + 79 + 8 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13519915 + ... + 14387285.

Almost surely, 2^{12102947985600} is an apocalyptic number.

12102947985600 is a gapful number since it is divisible by the number (10) 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 12102947985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24586873660800).

12102947985600 is an abundant number, since it is smaller than the sum of its proper divisors (37070799336000).

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

12102947985600 is a wasteful number, since it uses less digits than its factorization.

12102947985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867438 (or 867417 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 12102947985600 in words is "twelve trillion, one hundred two billion, nine hundred forty-seven million, nine hundred eighty-five thousand, six hundred".