10112231212120 has 128 divisors (see below), whose sum is σ = 23180128473600. Its totient is φ = 3969426227200.

The previous prime is 10112231212033. The next prime is 10112231212121. The reversal of 10112231212120 is 2121213221101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112231212121) 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, 1146637071 + ... + 1146645889.

It is an arithmetic number, because the mean of its divisors is an integer number (181094753700).

Almost surely, 2^{10112231212120} is an apocalyptic number.

10112231212120 is a gapful number since it is divisible by the number (10) 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 10112231212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11590064236800).

10112231212120 is an abundant number, since it is smaller than the sum of its proper divisors (13067897261480).

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

10112231212120 is a wasteful number, since it uses less digits than its factorization.

10112231212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10729 (or 10725 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 10112231212120 its reverse (2121213221101), we get a palindrome (12233444433221).

The spelling of 10112231212120 in words is "ten trillion, one hundred twelve billion, two hundred thirty-one million, two hundred twelve thousand, one hundred twenty".