13223737200400 has 120 divisors (see below), whose sum is σ = 32030421874920. Its totient is φ = 5246209966080.

The previous prime is 13223737200391. The next prime is 13223737200413. The reversal of 13223737200400 is 400273732231.

It can be written as a sum of positive squares in 12 ways, for example, as 8921547714816 + 4302189485584 = 2986896^2 + 2074172^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61762332 + ... + 61976068.

It is an arithmetic number, because the mean of its divisors is an integer number (266920182291).

Almost surely, 2^{13223737200400} is an apocalyptic number.

13223737200400 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 13223737200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16015210937460).

13223737200400 is an abundant number, since it is smaller than the sum of its proper divisors (18806684674520).

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

13223737200400 is a wasteful number, since it uses less digits than its factorization.

13223737200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215021 (or 215010 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 34.

The spelling of 13223737200400 in words is "thirteen trillion, two hundred twenty-three billion, seven hundred thirty-seven million, two hundred thousand, four hundred".