12253574862000 has 960 divisors, whose sum is σ = 45031392806400. Its totient is φ = 3220215782400.

The previous prime is 12253574861939. The next prime is 12253574862007. The reversal of 12253574862000 is 26847535221.

12253574862000 is a `hidden beast` number, since 1 + 2 + 2 + 53 + 574 + 8 + 6 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12253574862007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12025097491 + ... + 12025098509.

It is an arithmetic number, because the mean of its divisors is an integer number (46907700840).

Almost surely, 2^{12253574862000} is an apocalyptic number.

12253574862000 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 12253574862000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22515696403200).

12253574862000 is an abundant number, since it is smaller than the sum of its proper divisors (32777817944400).

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

12253574862000 is a wasteful number, since it uses less digits than its factorization.

12253574862000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 12253574862000 in words is "twelve trillion, two hundred fifty-three billion, five hundred seventy-four million, eight hundred sixty-two thousand".