12257407775250 has 1024 divisors, whose sum is σ = 38833966080000. Its totient is φ = 2835336960000.

The previous prime is 12257407775233. The next prime is 12257407775257. The reversal of 12257407775250 is 5257770475221.

12257407775250 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 7 + 40 + 7 + 77 + 525 + 0 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12257407775257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 35121512076 + ... + 35121512424.

It is an arithmetic number, because the mean of its divisors is an integer number (37923795000).

Almost surely, 2^{12257407775250} is an apocalyptic number.

12257407775250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12257407775250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19416983040000).

12257407775250 is an abundant number, since it is smaller than the sum of its proper divisors (26576558304750).

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

12257407775250 is a wasteful number, since it uses less digits than its factorization.

12257407775250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 9604000, while the sum is 54.

The spelling of 12257407775250 in words is "twelve trillion, two hundred fifty-seven billion, four hundred seven million, seven hundred seventy-five thousand, two hundred fifty".