12251243964960 has 3456 divisors, whose sum is σ = 59594208952320. Its totient is φ = 2323244851200.

The previous prime is 12251243964929. The next prime is 12251243965033. The reversal of 12251243964960 is 6946934215221.

12251243964960 is a `hidden beast` number, since 1 + 2 + 2 + 512 + 4 + 3 + 9 + 64 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12251243964897 and 12251243964906.

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 575 ways as a sum of consecutive naturals, for example, 64142638465 + ... + 64142638655.

It is an arithmetic number, because the mean of its divisors is an integer number (17243694720).

Almost surely, 2^{12251243964960} is an apocalyptic number.

12251243964960 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 12251243964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29797104476160).

12251243964960 is an abundant number, since it is smaller than the sum of its proper divisors (47342964987360).

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

12251243964960 is a wasteful number, since it uses less digits than its factorization.

12251243964960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 12251243964960 in words is "twelve trillion, two hundred fifty-one billion, two hundred forty-three million, nine hundred sixty-four thousand, nine hundred sixty".