312011121400 has 48 divisors (see below), whose sum is σ = 791373668040. Its totient is φ = 113458588800.

The previous prime is 312011121377. The next prime is 312011121421. The reversal of 312011121400 is 4121110213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70909419 + ... + 70913818.

Almost surely, 2^312011121400 is an apocalyptic number.

It is an amenable number.

312011121400 is an abundant number, since it is smaller than the sum of its proper divisors (479362546640).

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

312011121400 is a wasteful number, since it uses less digits than its factorization.

312011121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141823264 (or 141823255 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 312011121400 its reverse (4121110213), we get a palindrome (316132231613).

The spelling of 312011121400 in words is "three hundred twelve billion, eleven million, one hundred twenty-one thousand, four hundred".