120002112312 has 128 divisors (see below), whose sum is σ = 330126796800. Its totient is φ = 36181613952.

The previous prime is 120002112283. The next prime is 120002112343. The reversal of 120002112312 is 213211200021.

It is a junction number, because it is equal to n+sod(n) for n = 120002112291 and 120002112300.

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, 5894583 + ... + 5914905.

It is an arithmetic number, because the mean of its divisors is an integer number (2579115600).

Almost surely, 2^120002112312 is an apocalyptic number.

120002112312 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 120002112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165063398400).

120002112312 is an abundant number, since it is smaller than the sum of its proper divisors (210124684488).

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

120002112312 is a wasteful number, since it uses less digits than its factorization.

120002112312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20937 (or 20933 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 120002112312 its reverse (213211200021), we get a palindrome (333213312333).

The spelling of 120002112312 in words is "one hundred twenty billion, two million, one hundred twelve thousand, three hundred twelve".