12532795200 has 336 divisors, whose sum is σ = 48094392000. Its totient is φ = 3165972480.

The previous prime is 12532795193. The next prime is 12532795201. The reversal of 12532795200 is 259723521.

12532795200 is a `hidden beast` number, since 1 + 2 + 532 + 79 + 52 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12532795201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 813166 + ... + 828434.

Almost surely, 2^12532795200 is an apocalyptic number.

12532795200 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 12532795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24047196000).

12532795200 is an abundant number, since it is smaller than the sum of its proper divisors (35561596800).

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

12532795200 is a wasteful number, since it uses less digits than its factorization.

12532795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15319 (or 15298 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 12532795200 in words is "twelve billion, five hundred thirty-two million, seven hundred ninety-five thousand, two hundred".