312120350400 has 336 divisors, whose sum is σ = 1081652261888. Its totient is φ = 78672384000.

The previous prime is 312120350389. The next prime is 312120350419. The reversal of 312120350400 is 4053021213.

It is a super-2 number, since 2×312120350400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6374010 + ... + 6422790.

Almost surely, 2^312120350400 is an apocalyptic number.

312120350400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312120350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540826130944).

312120350400 is an abundant number, since it is smaller than the sum of its proper divisors (769531911488).

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

312120350400 is a wasteful number, since it uses less digits than its factorization.

312120350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48880 (or 48865 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 312120350400 its reverse (4053021213), we get a palindrome (316173371613).

The spelling of 312120350400 in words is "three hundred twelve billion, one hundred twenty million, three hundred fifty thousand, four hundred".