12252451657600 has 768 divisors, whose sum is σ = 39116536381440. Its totient is φ = 3681672192000.

The previous prime is 12252451657577. The next prime is 12252451657613. The reversal of 12252451657600 is 675615425221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 775905705 + ... + 775921495.

It is an arithmetic number, because the mean of its divisors is an integer number (50932990080).

Almost surely, 2^{12252451657600} is an apocalyptic number.

12252451657600 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 12252451657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19558268190720).

12252451657600 is an abundant number, since it is smaller than the sum of its proper divisors (26864084723840).

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

12252451657600 is a wasteful number, since it uses less digits than its factorization.

12252451657600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15947 (or 15930 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 46.

The spelling of 12252451657600 in words is "twelve trillion, two hundred fifty-two billion, four hundred fifty-one million, six hundred fifty-seven thousand, six hundred".