122112121002120 has 96 divisors (see below), whose sum is σ = 396917952649920. Its totient is φ = 32558837650560.

The previous prime is 122112121002103. The next prime is 122112121002163. The reversal of 122112121002120 is 21200121211221.

122112121002120 is a `hidden beast` number, since 1 + 221 + 1 + 21 + 210 + 0 + 212 + 0 = 666.

It is a super-2 number, since 2×122112121002120² (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 = 122112121002093 and 122112121002102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20216964 + ... + 25552883.

It is an arithmetic number, because the mean of its divisors is an integer number (4134562006770).

Almost surely, 2^{122112121002120} is an apocalyptic number.

122112121002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112121002120 is an abundant number, since it is smaller than the sum of its proper divisors (274805831647800).

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

122112121002120 is a wasteful number, since it uses less digits than its factorization.

122112121002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45777275 (or 45777268 counting only the distinct ones).

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

Adding to 122112121002120 its reverse (21200121211221), we get a palindrome (143312242213341).

The spelling of 122112121002120 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred twenty-one million, two thousand, one hundred twenty".