12276979384320 has 1800 divisors, whose sum is σ = 52123255929360. Its totient is φ = 2755704913920.

The previous prime is 12276979384297. The next prime is 12276979384321. The reversal of 12276979384320 is 2348397967221.

12276979384320 is a `hidden beast` number, since 1 + 2 + 27 + 6 + 97 + 93 + 8 + 432 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (12276979384321) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 19833568971 + ... + 19833569589.

Almost surely, 2^{12276979384320} is an apocalyptic number.

12276979384320 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 12276979384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26061627964680).

12276979384320 is an abundant number, since it is smaller than the sum of its proper divisors (39846276545040).

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

12276979384320 is an frugal number, since it uses more digits than its factorization.

12276979384320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 12276979384320 in words is "twelve trillion, two hundred seventy-six billion, nine hundred seventy-nine million, three hundred eighty-four thousand, three hundred twenty".