12520984320 has 864 divisors, whose sum is σ = 51148238400. Its totient is φ = 2879815680.

The previous prime is 12520984271. The next prime is 12520984327. The reversal of 12520984320 is 2348902521.

It is a happy number.

12520984320 is a `hidden beast` number, since 1 + 2 + 520 + 98 + 43 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12520984327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 403902705 + ... + 403902735.

It is an arithmetic number, because the mean of its divisors is an integer number (59199350).

Almost surely, 2^12520984320 is an apocalyptic number.

12520984320 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 12520984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25574119200).

12520984320 is an abundant number, since it is smaller than the sum of its proper divisors (38627254080).

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

12520984320 is a wasteful number, since it uses less digits than its factorization.

12520984320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12520984320 in words is "twelve billion, five hundred twenty million, nine hundred eighty-four thousand, three hundred twenty".