120111220022112 has 144 divisors (see below), whose sum is σ = 376036274774160. Its totient is φ = 36063418752000.

The previous prime is 120111220022047. The next prime is 120111220022113. The reversal of 120111220022112 is 211220022111021.

120111220022112 is a `hidden beast` number, since 1 + 201 + 11 + 220 + 0 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120111220022113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173571639 + ... + 174262262.

It is an arithmetic number, because the mean of its divisors is an integer number (2611363019265).

Almost surely, 2^{120111220022112} is an apocalyptic number.

120111220022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120111220022112 is an abundant number, since it is smaller than the sum of its proper divisors (255925054752048).

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

120111220022112 is a wasteful number, since it uses less digits than its factorization.

120111220022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347834037 (or 347834026 counting only the distinct ones).

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

Adding to 120111220022112 its reverse (211220022111021), we get a palindrome (331331242133133).

The spelling of 120111220022112 in words is "one hundred twenty trillion, one hundred eleven billion, two hundred twenty million, twenty-two thousand, one hundred twelve".