12526252200 has 432 divisors, whose sum is σ = 53388279360. Its totient is φ = 2602656000.

The previous prime is 12526252169. The next prime is 12526252201. The reversal of 12526252200 is 225262521.

12526252200 is a `hidden beast` number, since 12 + 5 + 2 + 625 + 2 + 20 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (12526252201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 963745 + ... + 976655.

It is an arithmetic number, because the mean of its divisors is an integer number (123583980).

Almost surely, 2^12526252200 is an apocalyptic number.

12526252200 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 12526252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26694139680).

12526252200 is an abundant number, since it is smaller than the sum of its proper divisors (40862027160).

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

12526252200 is a wasteful number, since it uses less digits than its factorization.

12526252200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12958 (or 12939 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 12526252200 in words is "twelve billion, five hundred twenty-six million, two hundred fifty-two thousand, two hundred".