123220131313312 has 144 divisors (see below), whose sum is σ = 270673996553856. Its totient is φ = 55168991539200.

The previous prime is 123220131313309. The next prime is 123220131313369. The reversal of 123220131313312 is 213313131022321.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78470793 + ... + 80025655.

It is an arithmetic number, because the mean of its divisors is an integer number (1879680531624).

Almost surely, 2^{123220131313312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123220131313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135336998276928).

123220131313312 is an abundant number, since it is smaller than the sum of its proper divisors (147453865240544).

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

123220131313312 is a wasteful number, since it uses less digits than its factorization.

123220131313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555203 (or 1555184 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 123220131313312 its reverse (213313131022321), we get a palindrome (336533262335633).

The spelling of 123220131313312 in words is "one hundred twenty-three trillion, two hundred twenty billion, one hundred thirty-one million, three hundred thirteen thousand, three hundred twelve".