12331946880 has 576 divisors, whose sum is σ = 49651645680. Its totient is φ = 2787409920.

The previous prime is 12331946873. The next prime is 12331946899. The reversal of 12331946880 is 8864913321.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×12331946880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 115251787 + ... + 115251893.

Almost surely, 2^12331946880 is an apocalyptic number.

12331946880 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 12331946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24825822840).

12331946880 is an abundant number, since it is smaller than the sum of its proper divisors (37319698800).

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

12331946880 is a wasteful number, since it uses less digits than its factorization.

12331946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12331946880 in words is "twelve billion, three hundred thirty-one million, nine hundred forty-six thousand, eight hundred eighty".