12331781280 has 1152 divisors, whose sum is σ = 56667340800. Its totient is φ = 2445520896.

The previous prime is 12331781243. The next prime is 12331781311. The reversal of 12331781280 is 8218713321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 97100577 + ... + 97100703.

It is an arithmetic number, because the mean of its divisors is an integer number (49190400).

Almost surely, 2^12331781280 is an apocalyptic number.

12331781280 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 12331781280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28333670400).

12331781280 is an abundant number, since it is smaller than the sum of its proper divisors (44335559520).

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

12331781280 is a wasteful number, since it uses less digits than its factorization.

12331781280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12331781280 in words is "twelve billion, three hundred thirty-one million, seven hundred eighty-one thousand, two hundred eighty".