312203021020020 has 144 divisors (see below), whose sum is σ = 1019878241316480. Its totient is φ = 76848841145088.

The previous prime is 312203021019971. The next prime is 312203021020027. The reversal of 312203021020020 is 20020120302213.

312203021020020 is a `hidden beast` number, since 3 + 1 + 220 + 30 + 210 + 200 + 2 + 0 = 666.

It is a super-2 number, since 2×312203021020020² (a number of 30 digits) contains 22 as substring.

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 = 312203021019975 and 312203021020002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312203021020027) 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, 163616611 + ... + 165513749.

It is an arithmetic number, because the mean of its divisors is an integer number (7082487786920).

Almost surely, 2^{312203021020020} is an apocalyptic number.

312203021020020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312203021020020 is an abundant number, since it is smaller than the sum of its proper divisors (707675220296460).

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

312203021020020 is a wasteful number, since it uses less digits than its factorization.

312203021020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967494 (or 1967489 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 312203021020020 its reverse (20020120302213), we get a palindrome (332223141322233).

The spelling of 312203021020020 in words is "three hundred twelve trillion, two hundred three billion, twenty-one million, twenty thousand, twenty".