122112111202020 has 84 divisors (see below), whose sum is σ = 384477268690620. Its totient is φ = 32563229649984.

The previous prime is 122112111202007. The next prime is 122112111202027. The reversal of 122112111202020 is 20202111211221.

122112111202020 is a `hidden beast` number, since 1 + 221 + 121 + 1 + 120 + 202 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22138229496384 + 99973881705636 = 4705128^2 + 9998694^2 .

It is a super-2 number, since 2×122112111202020² (a number of 29 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 = 122112111201984 and 122112111202002.

It is not an unprimeable number, because it can be changed into a prime (122112111202027) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4187643555 + ... + 4187672714.

It is an arithmetic number, because the mean of its divisors is an integer number (4577110341555).

Almost surely, 2^{122112111202020} is an apocalyptic number.

122112111202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112111202020 is an abundant number, since it is smaller than the sum of its proper divisors (262365157488600).

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

122112111202020 is an equidigital number, since it uses as much as digits as its factorization.

122112111202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8375316296 (or 8375316279 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122112111202020 its reverse (20202111211221), we get a palindrome (142314222413241).

The spelling of 122112111202020 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred eleven million, two hundred two thousand, twenty".