12492628512210 has 1152 divisors, whose sum is σ = 42941090649600. Its totient is φ = 2497654656000.

The previous prime is 12492628512209. The next prime is 12492628512227. The reversal of 12492628512210 is 1221582629421.

12492628512210 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 2 + 628 + 5 + 1 + 2 + 2 + 10 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 63414357832 + ... + 63414358028.

It is an arithmetic number, because the mean of its divisors is an integer number (37275252300).

Almost surely, 2^{12492628512210} is an apocalyptic number.

12492628512210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12492628512210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21470545324800).

12492628512210 is an abundant number, since it is smaller than the sum of its proper divisors (30448462137390).

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

12492628512210 is a wasteful number, since it uses less digits than its factorization.

12492628512210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 12492628512210 in words is "twelve trillion, four hundred ninety-two billion, six hundred twenty-eight million, five hundred twelve thousand, two hundred ten".