120112101121120 has 48 divisors (see below), whose sum is σ = 283809409365888. Its totient is φ = 48037294126080.

The previous prime is 120112101121087. The next prime is 120112101121157. The reversal of 120112101121120 is 21121101211021.

It is a super-3 number, since 3×120112101121120³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 120112101121094 and 120112101121103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57933741 + ... + 59971180.

It is an arithmetic number, because the mean of its divisors is an integer number (5912696028456).

Almost surely, 2^{120112101121120} is an apocalyptic number.

120112101121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120112101121120 is an abundant number, since it is smaller than the sum of its proper divisors (163697308244768).

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

120112101121120 is a wasteful number, since it uses less digits than its factorization.

120112101121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117911303 (or 117911295 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 120112101121120 its reverse (21121101211021), we get a palindrome (141233202332141).

The spelling of 120112101121120 in words is "one hundred twenty trillion, one hundred twelve billion, one hundred one million, one hundred twenty-one thousand, one hundred twenty".