15216121344000 has 832 divisors, whose sum is σ = 52537410551808. Its totient is φ = 3906404352000.

The previous prime is 15216121343999. The next prime is 15216121344041. The reversal of 15216121344000 is 44312161251.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10618367284 + ... + 10618368716.

It is an arithmetic number, because the mean of its divisors is an integer number (63145926144).

Almost surely, 2^{15216121344000} is an apocalyptic number.

15216121344000 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 15216121344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26268705275904).

15216121344000 is an abundant number, since it is smaller than the sum of its proper divisors (37321289207808).

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

15216121344000 is a wasteful number, since it uses less digits than its factorization.

15216121344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 15216121344000 in words is "fifteen trillion, two hundred sixteen billion, one hundred twenty-one million, three hundred forty-four thousand".