120110013122112 has 168 divisors, whose sum is σ = 392565447715896. Its totient is φ = 34782990188544.

The previous prime is 120110013122111. The next prime is 120110013122131. The reversal of 120110013122112 is 211221310011021.

It is a happy number.

120110013122112 is a `hidden beast` number, since 1 + 201 + 100 + 131 + 221 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51123300803136 + 68986712318976 = 7150056^2 + 8305824^2 .

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 (120110013122111) 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, 471647203 + ... + 471901794.

It is an arithmetic number, because the mean of its divisors is an integer number (2336699093547).

Almost surely, 2^{120110013122112} is an apocalyptic number.

120110013122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120110013122112 is an abundant number, since it is smaller than the sum of its proper divisors (272455434593784).

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

120110013122112 is a wasteful number, since it uses less digits than its factorization.

120110013122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943549045 (or 943549032 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 120110013122112 its reverse (211221310011021), we get a palindrome (331331323133133).

The spelling of 120110013122112 in words is "one hundred twenty trillion, one hundred ten billion, thirteen million, one hundred twenty-two thousand, one hundred twelve".