312020403420 has 144 divisors (see below), whose sum is σ = 960597517824. Its totient is φ = 75617942400.

The previous prime is 312020403413. The next prime is 312020403433. The reversal of 312020403420 is 24304020213.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40586817 + ... + 40594503.

It is an arithmetic number, because the mean of its divisors is an integer number (6670816096).

Almost surely, 2^312020403420 is an apocalyptic number.

312020403420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312020403420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480298758912).

312020403420 is an abundant number, since it is smaller than the sum of its proper divisors (648577114404).

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

312020403420 is a wasteful number, since it uses less digits than its factorization.

312020403420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13312 (or 13299 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 312020403420 its reverse (24304020213), we get a palindrome (336324423633).

The spelling of 312020403420 in words is "three hundred twelve billion, twenty million, four hundred three thousand, four hundred twenty".