312220332100 has 72 divisors (see below), whose sum is σ = 689756604488. Its totient is φ = 122638924800.

The previous prime is 312220332089. The next prime is 312220332107. The reversal of 312220332100 is 1233022213.

It can be written as a sum of positive squares in 12 ways, for example, as 281474813764 + 30745518336 = 530542^2 + 175344^2 .

It is not an unprimeable number, because it can be changed into a prime (312220332107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3697552 + ... + 3781048.

Almost surely, 2^312220332100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312220332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344878302244).

312220332100 is an abundant number, since it is smaller than the sum of its proper divisors (377536272388).

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

312220332100 is a wasteful number, since it uses less digits than its factorization.

312220332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84185 (or 84178 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 312220332100 its reverse (1233022213), we get a palindrome (313453354313).

The spelling of 312220332100 in words is "three hundred twelve billion, two hundred twenty million, three hundred thirty-two thousand, one hundred".