112002120120 has 64 divisors (see below), whose sum is σ = 366552397440. Its totient is φ = 27152028800.

The previous prime is 112002120103. The next prime is 112002120133. The reversal of 112002120120 is 21021200211.

112002120120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112002120120² (a number of 23 digits) contains 22 as substring.

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 = 112002120096 and 112002120105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42423726 + ... + 42426365.

It is an arithmetic number, because the mean of its divisors is an integer number (5727381210).

Almost surely, 2^112002120120 is an apocalyptic number.

112002120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112002120120 is an abundant number, since it is smaller than the sum of its proper divisors (254550277320).

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

112002120120 is a wasteful number, since it uses less digits than its factorization.

112002120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84850116 (or 84850112 counting only the distinct ones).

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

Adding to 112002120120 its reverse (21021200211), we get a palindrome (133023320331).

The spelling of 112002120120 in words is "one hundred twelve billion, two million, one hundred twenty thousand, one hundred twenty".