120010002020112 has 160 divisors (see below), whose sum is σ = 339811136945280. Its totient is φ = 36327391027200.

The previous prime is 120010002020093. The next prime is 120010002020113. The reversal of 120010002020112 is 211020200010021.

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

It is not an unprimeable number, because it can be changed into a prime (120010002020113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33383862 + ... + 36803562.

It is an arithmetic number, because the mean of its divisors is an integer number (2123819605908).

Almost surely, 2^{120010002020112} is an apocalyptic number.

120010002020112 is a gapful number since it is divisible by the number (12) 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 120010002020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169905568472640).

120010002020112 is an abundant number, since it is smaller than the sum of its proper divisors (219801134925168).

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

120010002020112 is a wasteful number, since it uses less digits than its factorization.

120010002020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3421241 (or 3421235 counting only the distinct ones).

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

Adding to 120010002020112 its reverse (211020200010021), we get a palindrome (331030202030133).

The spelling of 120010002020112 in words is "one hundred twenty trillion, ten billion, two million, twenty thousand, one hundred twelve".