20121011122122 has 48 divisors (see below), whose sum is σ = 44148319488000. Its totient is φ = 6621961930272.

The previous prime is 20121011121997. The next prime is 20121011122139. The reversal of 20121011122122 is 22122111012102.

20121011122122 is a `hidden beast` number, since 201 + 210 + 1 + 11 + 221 + 22 = 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 = 20121011122095 and 20121011122104.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 80800279 + ... + 81048917.

It is an arithmetic number, because the mean of its divisors is an integer number (919756656000).

Almost surely, 2^{20121011122122} is an apocalyptic number.

20121011122122 is an abundant number, since it is smaller than the sum of its proper divisors (24027308365878).

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

20121011122122 is a wasteful number, since it uses less digits than its factorization.

20121011122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305635 (or 305632 counting only the distinct ones).

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

Adding to 20121011122122 its reverse (22122111012102), we get a palindrome (42243122134224).

The spelling of 20121011122122 in words is "twenty trillion, one hundred twenty-one billion, eleven million, one hundred twenty-two thousand, one hundred twenty-two".