312333214200400 has 60 divisors (see below), whose sum is σ = 750738043440000. Its totient is φ = 124873764960640.

The previous prime is 312333214200367. The next prime is 312333214200433. The reversal of 312333214200400 is 4002412333213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312333214200367) and next prime (312333214200433).

It is a super-2 number, since 2×312333214200400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185161600 + ... + 186840799.

It is an arithmetic number, because the mean of its divisors is an integer number (12512300724000).

Almost surely, 2^{312333214200400} is an apocalyptic number.

It is an amenable number.

312333214200400 is an abundant number, since it is smaller than the sum of its proper divisors (438404829239600).

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

312333214200400 is a wasteful number, since it uses less digits than its factorization.

312333214200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372004516 (or 372004505 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 312333214200400 its reverse (4002412333213), we get a palindrome (316335626533613).

The spelling of 312333214200400 in words is "three hundred twelve trillion, three hundred thirty-three billion, two hundred fourteen million, two hundred thousand, four hundred".