312010512142400 has 336 divisors, whose sum is σ = 798011904445440. Its totient is φ = 119939788800000.

The previous prime is 312010512142187. The next prime is 312010512142429. The reversal of 312010512142400 is 4241215010213.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 312010512142400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36616650140 + ... + 36616658660.

Almost surely, 2^{312010512142400} 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 312010512142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399005952222720).

312010512142400 is an abundant number, since it is smaller than the sum of its proper divisors (486001392303040).

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

312010512142400 is a wasteful number, since it uses less digits than its factorization.

312010512142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13614 (or 13599 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 312010512142400 its reverse (4241215010213), we get a palindrome (316251727152613).

The spelling of 312010512142400 in words is "three hundred twelve trillion, ten billion, five hundred twelve million, one hundred forty-two thousand, four hundred".