12250715400 has 1440 divisors, whose sum is σ = 57266066880. Its totient is φ = 2395008000.

The previous prime is 12250715363. The next prime is 12250715419. The reversal of 12250715400 is 451705221.

12250715400 is a `hidden beast` number, since 1 + 2 + 2 + 50 + 71 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 200831370 + ... + 200831430.

It is an arithmetic number, because the mean of its divisors is an integer number (39768102).

Almost surely, 2^12250715400 is an apocalyptic number.

12250715400 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 12250715400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28633033440).

12250715400 is an abundant number, since it is smaller than the sum of its proper divisors (45015351480).

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

12250715400 is a wasteful number, since it uses less digits than its factorization.

12250715400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The spelling of 12250715400 in words is "twelve billion, two hundred fifty million, seven hundred fifteen thousand, four hundred".