12408939333120 has 640 divisors, whose sum is σ = 45247797669888. Its totient is φ = 2871698227200.

The previous prime is 12408939333071. The next prime is 12408939333151. The reversal of 12408939333120 is 2133393980421.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12408939333120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1016203815 + ... + 1016216025.

Almost surely, 2^{12408939333120} is an apocalyptic number.

12408939333120 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 12408939333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22623898834944).

12408939333120 is an abundant number, since it is smaller than the sum of its proper divisors (32838858336768).

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

12408939333120 is a wasteful number, since it uses less digits than its factorization.

12408939333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12794 (or 12778 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 12408939333120 in words is "twelve trillion, four hundred eight billion, nine hundred thirty-nine million, three hundred thirty-three thousand, one hundred twenty".