13221232400 has 30 divisors (see below), whose sum is σ = 31764011802. Its totient is φ = 5288492800.

The previous prime is 13221232379. The next prime is 13221232417. The reversal of 13221232400 is 423212231.

It can be written as a sum of positive squares in 3 ways, for example, as 149426176 + 13071806224 = 12224^2 + 114332^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16526141 + ... + 16526940.

Almost surely, 2^13221232400 is an apocalyptic number.

13221232400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13221232400 is an abundant number, since it is smaller than the sum of its proper divisors (18542779402).

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

13221232400 is a wasteful number, since it uses less digits than its factorization.

13221232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33053099 (or 33053088 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13221232400 its reverse (423212231), we get a palindrome (13644444631).

The spelling of 13221232400 in words is "thirteen billion, two hundred twenty-one million, two hundred thirty-two thousand, four hundred".