13012254720 has 600 divisors, whose sum is σ = 48814703784. Its totient is φ = 3312451584.

The previous prime is 13012254679. The next prime is 13012254727. The reversal of 13012254720 is 2745221031.

It can be written as a sum of positive squares in 4 ways, for example, as 4938153984 + 8074100736 = 70272^2 + 89856^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012254727) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 245514214 + ... + 245514266.

Almost surely, 2^13012254720 is an apocalyptic number.

13012254720 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 13012254720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24407351892).

13012254720 is an abundant number, since it is smaller than the sum of its proper divisors (35802449064).

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

13012254720 is an frugal number, since it uses more digits than its factorization.

13012254720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 13012254720 its reverse (2745221031), we get a palindrome (15757475751).

The spelling of 13012254720 in words is "thirteen billion, twelve million, two hundred fifty-four thousand, seven hundred twenty".