12520292328960 has 320 divisors, whose sum is σ = 44591097862080. Its totient is φ = 2975644385280.

The previous prime is 12520292328919. The next prime is 12520292328997. The reversal of 12520292328960 is 6982329202521.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×12520292328960² (a number of 27 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 733230 + ... + 5057490.

It is an arithmetic number, because the mean of its divisors is an integer number (139347180819).

Almost surely, 2^{12520292328960} is an apocalyptic number.

12520292328960 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 12520292328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22295548931040).

12520292328960 is an abundant number, since it is smaller than the sum of its proper divisors (32070805533120).

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

12520292328960 is a wasteful number, since it uses less digits than its factorization.

12520292328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324329 (or 4324313 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 12520292328960 in words is "twelve trillion, five hundred twenty billion, two hundred ninety-two million, three hundred twenty-eight thousand, nine hundred sixty".