312424041300 has 144 divisors (see below), whose sum is σ = 1046159708160. Its totient is φ = 70507232640.

The previous prime is 312424041299. The next prime is 312424041313. The reversal of 312424041300 is 3140424213.

312424041300 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 775704 + ... + 1107503.

Almost surely, 2^312424041300 is an apocalyptic number.

312424041300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312424041300 is an abundant number, since it is smaller than the sum of its proper divisors (733735666860).

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

312424041300 is a wasteful number, since it uses less digits than its factorization.

312424041300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883310 (or 1883303 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 312424041300 its reverse (3140424213), we get a palindrome (315564465513).

The spelling of 312424041300 in words is "three hundred twelve billion, four hundred twenty-four million, forty-one thousand, three hundred".