12452731200 has 1512 divisors, whose sum is σ = 59343755328. Its totient is φ = 2415329280.

The previous prime is 12452731147. The next prime is 12452731201. The reversal of 12452731200 is 213725421.

12452731200 is a `hidden beast` number, since 1 + 2 + 452 + 7 + 3 + 1 + 200 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12452731201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 289598379 + ... + 289598421.

Almost surely, 2^12452731200 is an apocalyptic number.

12452731200 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 12452731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29671877664).

12452731200 is an abundant number, since it is smaller than the sum of its proper divisors (46891024128).

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

12452731200 is a wasteful number, since it uses less digits than its factorization.

12452731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 12452731200 in words is "twelve billion, four hundred fifty-two million, seven hundred thirty-one thousand, two hundred".