13212979200 has 624 divisors, whose sum is σ = 49971652800. Its totient is φ = 3463741440.

The previous prime is 13212979187. The next prime is 13212979201. The reversal of 13212979200 is 297921231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13212979201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223948771 + ... + 223948829.

Almost surely, 2^13212979200 is an apocalyptic number.

13212979200 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 13212979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24985826400).

13212979200 is an abundant number, since it is smaller than the sum of its proper divisors (36758673600).

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

13212979200 is an frugal number, since it uses more digits than its factorization.

13212979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 13212979200 in words is "thirteen billion, two hundred twelve million, nine hundred seventy-nine thousand, two hundred".