12331956416 has 56 divisors (see below), whose sum is σ = 26464320960. Its totient is φ = 5667766272.

The previous prime is 12331956409. The next prime is 12331956421. The reversal of 12331956416 is 61465913321.

It is a happy number.

It is a super-2 number, since 2×12331956416² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167840 + ... + 229856.

It is an arithmetic number, because the mean of its divisors is an integer number (472577160).

Almost surely, 2^12331956416 is an apocalyptic number.

12331956416 is a gapful number since it is divisible by the number (16) 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 12331956416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13232160480).

12331956416 is an abundant number, since it is smaller than the sum of its proper divisors (14132364544).

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

12331956416 is a wasteful number, since it uses less digits than its factorization.

12331956416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62281 (or 62271 counting only the distinct ones).

The product of its digits is 116640, while the sum is 41.

The spelling of 12331956416 in words is "twelve billion, three hundred thirty-one million, nine hundred fifty-six thousand, four hundred sixteen".