220120112011122 has 12 divisors (see below), whose sum is σ = 476926909357470. Its totient is φ = 73373370670368.

The previous prime is 220120112011097. The next prime is 220120112011127. The reversal of 220120112011122 is 221110211021022.

220120112011122 is a `hidden beast` number, since 220 + 1 + 201 + 120 + 1 + 1 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 175365898571241 + 44754213439881 = 13242579^2 + 6689859^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12228895111729 = 220120112011122 / (2 + 2 + 0 + 1 + 2 + 0 + 1 + 1 + 2 + 0 + 1 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 220120112011095 and 220120112011104.

It is not an unprimeable number, because it can be changed into a prime (220120112011127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6114447555847 + ... + 6114447555882.

Almost surely, 2^{220120112011122} is an apocalyptic number.

220120112011122 is an abundant number, since it is smaller than the sum of its proper divisors (256806797346348).

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

220120112011122 is a wasteful number, since it uses less digits than its factorization.

220120112011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12228895111737 (or 12228895111734 counting only the distinct ones).

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

Adding to 220120112011122 its reverse (221110211021022), we get a palindrome (441230323032144).

The spelling of 220120112011122 in words is "two hundred twenty trillion, one hundred twenty billion, one hundred twelve million, eleven thousand, one hundred twenty-two".