12284865976320 has 1536 divisors, whose sum is σ = 50786323660800. Its totient is φ = 2759049216000.

The previous prime is 12284865976319. The next prime is 12284865976333. The reversal of 12284865976320 is 2367956848221.

12284865976320 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 4 + 8 + 6 + 597 + 6 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×12284865976320² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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, 37114398555 + ... + 37114398885.

It is an arithmetic number, because the mean of its divisors is an integer number (33064012800).

It is a 1-persistent number, because it is pandigital, but 2⋅12284865976320 = 24569731952640 is not.

Almost surely, 2^{12284865976320} is an apocalyptic number.

12284865976320 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 12284865976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25393161830400).

12284865976320 is an abundant number, since it is smaller than the sum of its proper divisors (38501457684480).

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

12284865976320 is a wasteful number, since it uses less digits than its factorization.

12284865976320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 12284865976320 in words is "twelve trillion, two hundred eighty-four billion, eight hundred sixty-five million, nine hundred seventy-six thousand, three hundred twenty".