112002012000120 has 128 divisors (see below), whose sum is σ = 366796576800000. Its totient is φ = 27133889018880.

The previous prime is 112002012000107. The next prime is 112002012000163. The reversal of 112002012000120 is 21000210200211.

112002012000120 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112002012000096 and 112002012000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26323525 + ... + 30280884.

It is an arithmetic number, because the mean of its divisors is an integer number (2865598256250).

Almost surely, 2^{112002012000120} is an apocalyptic number.

112002012000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112002012000120 is an abundant number, since it is smaller than the sum of its proper divisors (254794564799880).

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

112002012000120 is a wasteful number, since it uses less digits than its factorization.

112002012000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56605933 (or 56605929 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112002012000120 its reverse (21000210200211), we get a palindrome (133002222200331).

The spelling of 112002012000120 in words is "one hundred twelve trillion, two billion, twelve million, one hundred twenty", and thus it is an aban number.