120112112112120 has 768 divisors, whose sum is σ = 407732608483200. Its totient is φ = 30643839959040.

The previous prime is 120112112112071. The next prime is 120112112112143. The reversal of 120112112112120 is 21211211211021.

It is a happy number.

120112112112120 is a `hidden beast` number, since 1 + 20 + 11 + 211 + 211 + 212 + 0 = 666.

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 = 120112112112093 and 120112112112102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117641637210 + ... + 117641638230.

Almost surely, 2^{120112112112120} is an apocalyptic number.

120112112112120 is a gapful number since it is divisible by the number (10) 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 120112112112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203866304241600).

120112112112120 is an abundant number, since it is smaller than the sum of its proper divisors (287620496371080).

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

120112112112120 is a wasteful number, since it uses less digits than its factorization.

120112112112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 120112112112120 its reverse (21211211211021), we get a palindrome (141323323323141).

The spelling of 120112112112120 in words is "one hundred twenty trillion, one hundred twelve billion, one hundred twelve million, one hundred twelve thousand, one hundred twenty".