312141142401020 has 96 divisors (see below), whose sum is σ = 668439717120000. Its totient is φ = 122419439714304.

The previous prime is 312141142401017. The next prime is 312141142401071. The reversal of 312141142401020 is 20104241141213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109300256 + ... + 112119704.

It is an arithmetic number, because the mean of its divisors is an integer number (6962913720000).

Almost surely, 2^{312141142401020} is an apocalyptic number.

It is an amenable number.

312141142401020 is an abundant number, since it is smaller than the sum of its proper divisors (356298574718980).

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

312141142401020 is a wasteful number, since it uses less digits than its factorization.

312141142401020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820087 (or 2820085 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 312141142401020 its reverse (20104241141213), we get a palindrome (332245383542233).

The spelling of 312141142401020 in words is "three hundred twelve trillion, one hundred forty-one billion, one hundred forty-two million, four hundred one thousand, twenty".