120122012120112 has 480 divisors, whose sum is σ = 364264681068288. Its totient is φ = 38291652661248.

The previous prime is 120122012120053. The next prime is 120122012120129. The reversal of 120122012120112 is 211021210221021.

120122012120112 is a `hidden beast` number, since 1 + 201 + 220 + 12 + 120 + 112 = 666.

It is a super-2 number, since 2×120122012120112² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1671971263 + ... + 1672043105.

Almost surely, 2^{120122012120112} is an apocalyptic number.

120122012120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120122012120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182132340534144).

120122012120112 is an abundant number, since it is smaller than the sum of its proper divisors (244142668948176).

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

120122012120112 is a wasteful number, since it uses less digits than its factorization.

120122012120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72119 (or 72101 counting only the distinct ones).

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

Adding to 120122012120112 its reverse (211021210221021), we get a palindrome (331143222341133).

The spelling of 120122012120112 in words is "one hundred twenty trillion, one hundred twenty-two billion, twelve million, one hundred twenty thousand, one hundred twelve".