12621953092320 has 2304 divisors, whose sum is σ = 56885039043840. Its totient is φ = 2585623265280.

The previous prime is 12621953092319. The next prime is 12621953092321. The reversal of 12621953092320 is 2329035912621.

12621953092320 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 1 + 9 + 530 + 92 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (12621953092319) and next prime (12621953092321).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12621953092321) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 4274279964 + ... + 4274282916.

It is an arithmetic number, because the mean of its divisors is an integer number (24689687085).

Almost surely, 2^{12621953092320} is an apocalyptic number.

12621953092320 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 12621953092320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28442519521920).

12621953092320 is an abundant number, since it is smaller than the sum of its proper divisors (44263085951520).

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

12621953092320 is a wasteful number, since it uses less digits than its factorization.

12621953092320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 12621953092320 in words is "twelve trillion, six hundred twenty-one billion, nine hundred fifty-three million, ninety-two thousand, three hundred twenty".