12131322302880 has 768 divisors, whose sum is σ = 50438868480000. Its totient is φ = 2690061373440.

The previous prime is 12131322302857. The next prime is 12131322302921. The reversal of 12131322302880 is 8820322313121.

12131322302880 is a `hidden beast` number, since 1 + 2 + 13 + 132 + 230 + 288 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25951861 + ... + 26415179.

It is an arithmetic number, because the mean of its divisors is an integer number (65675610000).

Almost surely, 2^{12131322302880} is an apocalyptic number.

12131322302880 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 12131322302880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25219434240000).

12131322302880 is an abundant number, since it is smaller than the sum of its proper divisors (38307546177120).

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

12131322302880 is a wasteful number, since it uses less digits than its factorization.

12131322302880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463402 (or 463388 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12131322302880 in words is "twelve trillion, one hundred thirty-one billion, three hundred twenty-two million, three hundred two thousand, eight hundred eighty".