312343234120400 has 240 divisors, whose sum is σ = 861629043961728. Its totient is φ = 106587740160000.

The previous prime is 312343234120369. The next prime is 312343234120409. The reversal of 312343234120400 is 4021432343213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312343234120409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 556726424 + ... + 557287176.

Almost surely, 2^{312343234120400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312343234120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430814521980864).

312343234120400 is an abundant number, since it is smaller than the sum of its proper divisors (549285809841328).

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

312343234120400 is a wasteful number, since it uses less digits than its factorization.

312343234120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561710 (or 561699 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 312343234120400 its reverse (4021432343213), we get a palindrome (316364666463613).

The spelling of 312343234120400 in words is "three hundred twelve trillion, three hundred forty-three billion, two hundred thirty-four million, one hundred twenty thousand, four hundred".