313212002400 has 216 divisors, whose sum is σ = 1204869930264. Its totient is φ = 75930163200.

The previous prime is 313212002387. The next prime is 313212002407. The reversal of 313212002400 is 4200212313.

313212002400 is a `hidden beast` number, since 31 + 32 + 1 + 200 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313212002407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1898149 + ... + 2056548.

It is an arithmetic number, because the mean of its divisors is an integer number (5578101529).

Almost surely, 2^313212002400 is an apocalyptic number.

313212002400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313212002400 is an abundant number, since it is smaller than the sum of its proper divisors (891657927864).

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

313212002400 is a wasteful number, since it uses less digits than its factorization.

313212002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3954734 (or 3954718 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 313212002400 its reverse (4200212313), we get a palindrome (317412214713).

The spelling of 313212002400 in words is "three hundred thirteen billion, two hundred twelve million, two thousand, four hundred".