12912350330880 has 2880 divisors, whose sum is σ = 62411408091648. Its totient is φ = 2476694568960.

The previous prime is 12912350330861. The next prime is 12912350330917. The reversal of 12912350330880 is 8803305321921.

12912350330880 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 235 + 0 + 330 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 159 ways as a sum of consecutive naturals, for example, 993257717754 + ... + 993257717766.

Almost surely, 2^{12912350330880} is an apocalyptic number.

12912350330880 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 12912350330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31205704045824).

12912350330880 is an abundant number, since it is smaller than the sum of its proper divisors (49499057760768).

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

12912350330880 is an frugal number, since it uses more digits than its factorization.

12912350330880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12912350330880 in words is "twelve trillion, nine hundred twelve billion, three hundred fifty million, three hundred thirty thousand, eight hundred eighty".