13112736000 has 1152 divisors, whose sum is σ = 57140428800. Its totient is φ = 2587852800.

The previous prime is 13112735947. The next prime is 13112736023. The reversal of 13112736000 is 63721131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 165983961 + ... + 165984039.

Almost surely, 2^13112736000 is an apocalyptic number.

13112736000 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 13112736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28570214400).

13112736000 is an abundant number, since it is smaller than the sum of its proper divisors (44027692800).

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

13112736000 is a wasteful number, since it uses less digits than its factorization.

13112736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The spelling of 13112736000 in words is "thirteen billion, one hundred twelve million, seven hundred thirty-six thousand".