12912082888320 has 1920 divisors, whose sum is σ = 59627025849600. Its totient is φ = 2632105082880.

The previous prime is 12912082888307. The next prime is 12912082888447. The reversal of 12912082888320 is 2388828021921.

12912082888320 is a `hidden beast` number, since 1 + 2 + 91 + 208 + 28 + 8 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1480908921 + ... + 1480917639.

It is an arithmetic number, because the mean of its divisors is an integer number (31055742630).

Almost surely, 2^{12912082888320} is an apocalyptic number.

12912082888320 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 12912082888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29813512924800).

12912082888320 is an abundant number, since it is smaller than the sum of its proper divisors (46714942961280).

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

12912082888320 is a wasteful number, since it uses less digits than its factorization.

12912082888320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8828 (or 8800 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 12912082888320 in words is "twelve trillion, nine hundred twelve billion, eighty-two million, eight hundred eighty-eight thousand, three hundred twenty".