13221124400 has 120 divisors (see below), whose sum is σ = 36689888304. Its totient is φ = 4524851200.

The previous prime is 13221124391. The next prime is 13221124421. The reversal of 13221124400 is 442112231.

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 23 ways as a sum of consecutive naturals, for example, 13577 + ... + 163176.

Almost surely, 2^13221124400 is an apocalyptic number.

13221124400 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 13221124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18344944152).

13221124400 is an abundant number, since it is smaller than the sum of its proper divisors (23468763904).

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

13221124400 is a wasteful number, since it uses less digits than its factorization.

13221124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176799 (or 176788 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13221124400 its reverse (442112231), we get a palindrome (13663236631).

The spelling of 13221124400 in words is "thirteen billion, two hundred twenty-one million, one hundred twenty-four thousand, four hundred".