312332211200420 has 72 divisors (see below), whose sum is σ = 687619449598200. Its totient is φ = 119158608729600.

The previous prime is 312332211200353. The next prime is 312332211200431. The reversal of 312332211200420 is 24002112233213.

It can be written as a sum of positive squares in 4 ways, for example, as 126545715556516 + 185786495643904 = 11249254^2 + 13630352^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 312332211200420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38601281 + ... + 45986120.

Almost surely, 2^{312332211200420} is an apocalyptic number.

It is an amenable number.

312332211200420 is an abundant number, since it is smaller than the sum of its proper divisors (375287238397780).

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

312332211200420 is a wasteful number, since it uses less digits than its factorization.

312332211200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84587805 (or 84587780 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 312332211200420 its reverse (24002112233213), we get a palindrome (336334323433633).

The spelling of 312332211200420 in words is "three hundred twelve trillion, three hundred thirty-two billion, two hundred eleven million, two hundred thousand, four hundred twenty".