122112012010122 has 16 divisors (see below), whose sum is σ = 271360026689280. Its totient is φ = 40704004003356.

The previous prime is 122112012010103. The next prime is 122112012010139. The reversal of 122112012010122 is 221010210211221.

122112012010122 is a `hidden beast` number, since 1 + 221 + 120 + 1 + 201 + 0 + 122 = 666.

It is a super-2 number, since 2×122112012010122² (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 = 122112012010095 and 122112012010104.

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 7 ways as a sum of consecutive naturals, for example, 1130666777818 + ... + 1130666777925.

It is an arithmetic number, because the mean of its divisors is an integer number (16960001668080).

Almost surely, 2^{122112012010122} is an apocalyptic number.

122112012010122 is an abundant number, since it is smaller than the sum of its proper divisors (149248014679158).

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

122112012010122 is a wasteful number, since it uses less digits than its factorization.

122112012010122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261333555754 (or 2261333555748 counting only the distinct ones).

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

Adding to 122112012010122 its reverse (221010210211221), we get a palindrome (343122222221343).

The spelling of 122112012010122 in words is "one hundred twenty-two trillion, one hundred twelve billion, twelve million, ten thousand, one hundred twenty-two".