12924522000 has 1200 divisors, whose sum is σ = 56181997872. Its totient is φ = 2836684800.

The previous prime is 12924521969. The next prime is 12924522001. The reversal of 12924522000 is 22542921.

It is a happy number.

12924522000 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 452 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4772599056 + 8151922944 = 69084^2 + 90288^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12924522001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 680237991 + ... + 680238009.

Almost surely, 2^12924522000 is an apocalyptic number.

12924522000 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 12924522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28090998936).

12924522000 is an abundant number, since it is smaller than the sum of its proper divisors (43257475872).

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

12924522000 is a wasteful number, since it uses less digits than its factorization.

12924522000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12924522000 in words is "twelve billion, nine hundred twenty-four million, five hundred twenty-two thousand".