12331012311440 has 80 divisors (see below), whose sum is σ = 29384070767856. Its totient is φ = 4809610444800.

The previous prime is 12331012311433. The next prime is 12331012311473. The reversal of 12331012311440 is 4411321013321.

It can be written as a sum of positive squares in 8 ways, for example, as 45033932944 + 12285978378496 = 212212^2 + 3505136^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5367800 + ... + 7312680.

Almost surely, 2^{12331012311440} is an apocalyptic number.

12331012311440 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 12331012311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14692035383928).

12331012311440 is an abundant number, since it is smaller than the sum of its proper divisors (17053058456416).

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

12331012311440 is a wasteful number, since it uses less digits than its factorization.

12331012311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946868 (or 1946862 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 12331012311440 its reverse (4411321013321), we get a palindrome (16742333324761).

The spelling of 12331012311440 in words is "twelve trillion, three hundred thirty-one billion, twelve million, three hundred eleven thousand, four hundred forty".