312001141210020 has 144 divisors (see below), whose sum is σ = 948317319069120. Its totient is φ = 83032180455168.

The previous prime is 312001141210019. The next prime is 312001141210027. The reversal of 312001141210020 is 20012141100213.

312001141210020 is a `hidden beast` number, since 3 + 120 + 0 + 11 + 412 + 100 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312001141209975 and 312001141210002.

It is not an unprimeable number, because it can be changed into a prime (312001141210027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235036074 + ... + 236359806.

It is an arithmetic number, because the mean of its divisors is an integer number (6585536937980).

Almost surely, 2^{312001141210020} is an apocalyptic number.

312001141210020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312001141210020 is an abundant number, since it is smaller than the sum of its proper divisors (636316177859100).

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

312001141210020 is a wasteful number, since it uses less digits than its factorization.

312001141210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326394 (or 1326389 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 312001141210020 its reverse (20012141100213), we get a palindrome (332013282310233).

The spelling of 312001141210020 in words is "three hundred twelve trillion, one billion, one hundred forty-one million, two hundred ten thousand, twenty".