13125112000 has 672 divisors, whose sum is σ = 44267932800. Its totient is φ = 3750912000.

The previous prime is 13125111997. The next prime is 13125112027. The reversal of 13125112000 is 21152131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88087926 + ... + 88088074.

It is an arithmetic number, because the mean of its divisors is an integer number (65874900).

Almost surely, 2^13125112000 is an apocalyptic number.

13125112000 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 13125112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22133966400).

13125112000 is an abundant number, since it is smaller than the sum of its proper divisors (31142820800).

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

13125112000 is a wasteful number, since it uses less digits than its factorization.

13125112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 13125112000 its reverse (21152131), we get a palindrome (13146264131).

The spelling of 13125112000 in words is "thirteen billion, one hundred twenty-five million, one hundred twelve thousand".