312342242334300 has 108 divisors (see below), whose sum is σ = 979255155846240. Its totient is φ = 83271207939840.

The previous prime is 312342242334271. The next prime is 312342242334301. The reversal of 312342242334300 is 3433242243213.

312342242334300 is a `hidden beast` number, since 3 + 1 + 2 + 342 + 2 + 4 + 2 + 3 + 3 + 4 + 300 = 666.

It is a super-2 number, since 2×312342242334300² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312342242334301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38044980 + ... + 45520379.

Almost surely, 2^{312342242334300} is an apocalyptic number.

312342242334300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312342242334300 is an abundant number, since it is smaller than the sum of its proper divisors (666912913511940).

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

312342242334300 is a wasteful number, since it uses less digits than its factorization.

312342242334300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83569532 (or 83569522 counting only the distinct ones).

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

Adding to 312342242334300 its reverse (3433242243213), we get a palindrome (315775484577513).

The spelling of 312342242334300 in words is "three hundred twelve trillion, three hundred forty-two billion, two hundred forty-two million, three hundred thirty-four thousand, three hundred".