13124160000 has 1200 divisors, whose sum is σ = 58292340480. Its totient is φ = 2903040000.

The previous prime is 13124159977. The next prime is 13124160013. The reversal of 13124160000 is 6142131.

It is a happy number.

13124160000 is a `hidden beast` number, since 13 + 12 + 41 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 423359985 + ... + 423360015.

Almost surely, 2^13124160000 is an apocalyptic number.

13124160000 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 13124160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29146170240).

13124160000 is an abundant number, since it is smaller than the sum of its proper divisors (45168180480).

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

13124160000 is an frugal number, since it uses more digits than its factorization.

13124160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 13124160000 in words is "thirteen billion, one hundred twenty-four million, one hundred sixty thousand".