312112222020 has 288 divisors, whose sum is σ = 1005994001376. Its totient is φ = 78216192000.

The previous prime is 312112222013. The next prime is 312112222027. The reversal of 312112222020 is 20222211213.

312112222020 is a `hidden beast` number, since 31 + 211 + 222 + 202 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (312112222013) and next prime (312112222027).

It can be written as a sum of positive squares in 16 ways, for example, as 2139432516 + 309972789504 = 46254^2 + 556752^2 .

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 = 312112221984 and 312112222002.

It is not an unprimeable number, because it can be changed into a prime (312112222027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27573402 + ... + 27584718.

It is an arithmetic number, because the mean of its divisors is an integer number (3493034727).

Almost surely, 2^312112222020 is an apocalyptic number.

312112222020 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 312112222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502997000688).

312112222020 is an abundant number, since it is smaller than the sum of its proper divisors (693881779356).

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

312112222020 is a wasteful number, since it uses less digits than its factorization.

312112222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11511 (or 11506 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 312112222020 its reverse (20222211213), we get a palindrome (332334433233).

The spelling of 312112222020 in words is "three hundred twelve billion, one hundred twelve million, two hundred twenty-two thousand, twenty".