1312332231120 has 160 divisors (see below), whose sum is σ = 4106991600000. Its totient is φ = 346636019712.

The previous prime is 1312332231109. The next prime is 1312332231163. The reversal of 1312332231120 is 211322332131.

It is a super-3 number, since 3×1312332231120³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11110131 + ... + 11227629.

It is an arithmetic number, because the mean of its divisors is an integer number (25668697500).

Almost surely, 2^{1312332231120} is an apocalyptic number.

1312332231120 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 1312332231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053495800000).

1312332231120 is an abundant number, since it is smaller than the sum of its proper divisors (2794659368880).

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

1312332231120 is a wasteful number, since it uses less digits than its factorization.

1312332231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117957 (or 117951 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1312332231120 its reverse (211322332131), we get a palindrome (1523654563251).

The spelling of 1312332231120 in words is "one trillion, three hundred twelve billion, three hundred thirty-two million, two hundred thirty-one thousand, one hundred twenty".