12132120313110 has 128 divisors (see below), whose sum is σ = 33491630813184. Its totient is φ = 2755153906560.

The previous prime is 12132120313031. The next prime is 12132120313127. The reversal of 12132120313110 is 1131302123121.

12132120313110 is digitally balanced in base 2, because in such base 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 (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109035405 + ... + 109146615.

It is an arithmetic number, because the mean of its divisors is an integer number (261653365728).

Almost surely, 2^{12132120313110} is an apocalyptic number.

12132120313110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12132120313110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16745815406592).

12132120313110 is an abundant number, since it is smaller than the sum of its proper divisors (21359510500074).

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

12132120313110 is a wasteful number, since it uses less digits than its factorization.

12132120313110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114578.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12132120313110 its reverse (1131302123121), we get a palindrome (13263422436231).

The spelling of 12132120313110 in words is "twelve trillion, one hundred thirty-two billion, one hundred twenty million, three hundred thirteen thousand, one hundred ten".