13012512000 has 288 divisors, whose sum is σ = 43735386240. Its totient is φ = 3428761600.

The previous prime is 13012511959. The next prime is 13012512001. The reversal of 13012512000 is 21521031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012512001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8543239 + ... + 8544761.

It is an arithmetic number, because the mean of its divisors is an integer number (151858980).

Almost surely, 2^13012512000 is an apocalyptic number.

13012512000 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 13012512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21867693120).

13012512000 is an abundant number, since it is smaller than the sum of its proper divisors (30722874240).

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

13012512000 is an equidigital number, since it uses as much as digits as its factorization.

13012512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The spelling of 13012512000 in words is "thirteen billion, twelve million, five hundred twelve thousand".