1312212900 has 72 divisors (see below), whose sum is σ = 3800944224. Its totient is φ = 349529600.

The previous prime is 1312212899. The next prime is 1312212917. The reversal of 1312212900 is 92122131.

1312212900 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 347020 + ... + 350780.

It is an arithmetic number, because the mean of its divisors is an integer number (52790892).

Almost surely, 2^1312212900 is an apocalyptic number.

1312212900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312212900 is an abundant number, since it is smaller than the sum of its proper divisors (2488731324).

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

1312212900 is a wasteful number, since it uses less digits than its factorization.

1312212900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4941 (or 4934 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1312212900 is about 36224.4792923239. The cubic root of 1312212900 is about 1094.7999467729.

The spelling of 1312212900 in words is "one billion, three hundred twelve million, two hundred twelve thousand, nine hundred".