20111210122122 has 96 divisors (see below), whose sum is σ = 50387903280000. Its totient is φ = 5678522769024.

The previous prime is 20111210122063. The next prime is 20111210122169. The reversal of 20111210122122 is 22122101211102.

20111210122122 is a `hidden beast` number, since 201 + 11 + 210 + 1 + 221 + 22 = 666.

It is a super-2 number, since 2×20111210122122² (a number of 27 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 = 20111210122095 and 20111210122104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 979629 + ... + 6417327.

It is an arithmetic number, because the mean of its divisors is an integer number (524873992500).

Almost surely, 2^{20111210122122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111210122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25193951640000).

20111210122122 is an abundant number, since it is smaller than the sum of its proper divisors (30276693157878).

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

20111210122122 is a wasteful number, since it uses less digits than its factorization.

20111210122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5438060 (or 5438057 counting only the distinct ones).

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

Adding to 20111210122122 its reverse (22122101211102), we get a palindrome (42233311333224).

The spelling of 20111210122122 in words is "twenty trillion, one hundred eleven billion, two hundred ten million, one hundred twenty-two thousand, one hundred twenty-two".