12251375757504 has 336 divisors, whose sum is σ = 38009146069440. Its totient is φ = 3750603816960.

The previous prime is 12251375757503. The next prime is 12251375757559. The reversal of 12251375757504 is 40575757315221.

12251375757504 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 1 + 37 + 57 + 57 + 504 = 666.

It is not an unprimeable number, because it can be changed into a prime (12251375757503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1529697052 + ... + 1529705060.

It is an arithmetic number, because the mean of its divisors is an integer number (113122458540).

Almost surely, 2^{12251375757504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12251375757504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19004573034720).

12251375757504 is an abundant number, since it is smaller than the sum of its proper divisors (25757770311936).

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

12251375757504 is a wasteful number, since it uses less digits than its factorization.

12251375757504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9048 (or 9035 counting only the distinct ones).

The product of its (nonzero) digits is 10290000, while the sum is 54.

The spelling of 12251375757504 in words is "twelve trillion, two hundred fifty-one billion, three hundred seventy-five million, seven hundred fifty-seven thousand, five hundred four".