120022110122112 has 240 divisors, whose sum is σ = 392607051247950. Its totient is φ = 36370336020480.

The previous prime is 120022110122071. The next prime is 120022110122113. The reversal of 120022110122112 is 211221011220021.

120022110122112 is a `hidden beast` number, since 1 + 200 + 221 + 10 + 1 + 221 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82278977242176 + 37743132879936 = 9070776^2 + 6143544^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120022110122113) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 46581037 + ... + 49090092.

Almost surely, 2^{120022110122112} is an apocalyptic number.

120022110122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120022110122112 is an abundant number, since it is smaller than the sum of its proper divisors (272584941125838).

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

120022110122112 is an equidigital number, since it uses as much as digits as its factorization.

120022110122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95671177 (or 95671145 counting only the distinct ones).

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

Adding to 120022110122112 its reverse (211221011220021), we get a palindrome (331243121342133).

The spelling of 120022110122112 in words is "one hundred twenty trillion, twenty-two billion, one hundred ten million, one hundred twenty-two thousand, one hundred twelve".