312342242333400 has 144 divisors (see below), whose sum is σ = 1051807538714400. Its totient is φ = 83064312771840.

The previous prime is 312342242333371. The next prime is 312342242333453. The reversal of 312342242333400 is 4333242243213.

312342242333400 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 4 + 2 + 242 + 3 + 3 + 3 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 235747395 + ... + 237068594.

It is an arithmetic number, because the mean of its divisors is an integer number (7304219018850).

Almost surely, 2^{312342242333400} is an apocalyptic number.

312342242333400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312342242333400 is an abundant number, since it is smaller than the sum of its proper divisors (739465296381000).

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

312342242333400 is a wasteful number, since it uses less digits than its factorization.

312342242333400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472816378 (or 472816366 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 312342242333400 its reverse (4333242243213), we get a palindrome (316675484576613).

The spelling of 312342242333400 in words is "three hundred twelve trillion, three hundred forty-two billion, two hundred forty-two million, three hundred thirty-three thousand, four hundred".