312222112100 has 36 divisors (see below), whose sum is σ = 677686810164. Its totient is φ = 124858462080.

The previous prime is 312222112021. The next prime is 312222112109. The reversal of 312222112100 is 1211222213.

It can be written as a sum of positive squares in 6 ways, for example, as 1322195044 + 310899917056 = 36362^2 + 557584^2 .

It is not an unprimeable number, because it can be changed into a prime (312222112109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35582 + ... + 791018.

Almost surely, 2^312222112100 is an apocalyptic number.

It is an amenable number.

312222112100 is an abundant number, since it is smaller than the sum of its proper divisors (365464698064).

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

312222112100 is a wasteful number, since it uses less digits than its factorization.

312222112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759584 (or 759577 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 312222112100 its reverse (1211222213), we get a palindrome (313433334313).

The spelling of 312222112100 in words is "three hundred twelve billion, two hundred twenty-two million, one hundred twelve thousand, one hundred".