312413203410420 has 96 divisors (see below), whose sum is σ = 1007353718654976. Its totient is φ = 70863627369600.

The previous prime is 312413203410409. The next prime is 312413203410439. The reversal of 312413203410420 is 24014302314213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2839032616 + ... + 2839142655.

It is an arithmetic number, because the mean of its divisors is an integer number (10493267902656).

Almost surely, 2^{312413203410420} is an apocalyptic number.

312413203410420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312413203410420 is an abundant number, since it is smaller than the sum of its proper divisors (694940515244556).

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

312413203410420 is a wasteful number, since it uses less digits than its factorization.

312413203410420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5678175421 (or 5678175419 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 312413203410420 its reverse (24014302314213), we get a palindrome (336427505724633).

The spelling of 312413203410420 in words is "three hundred twelve trillion, four hundred thirteen billion, two hundred three million, four hundred ten thousand, four hundred twenty".