312001210400 has 108 divisors (see below), whose sum is σ = 837211028346. Its totient is φ = 113454950400.

The previous prime is 312001210397. The next prime is 312001210561. The reversal of 312001210400 is 4012100213.

It can be written as a sum of positive squares in 3 ways, for example, as 260912553616 + 51088656784 = 510796^2 + 226028^2 .

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1514777 + ... + 1708376.

Almost surely, 2^312001210400 is an apocalyptic number.

It is an amenable number.

312001210400 is an abundant number, since it is smaller than the sum of its proper divisors (525209817946).

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

312001210400 is a wasteful number, since it uses less digits than its factorization.

312001210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3223195 (or 3223171 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 312001210400 its reverse (4012100213), we get a palindrome (316013310613).

The spelling of 312001210400 in words is "three hundred twelve billion, one million, two hundred ten thousand, four hundred".