12537036000 has 288 divisors, whose sum is σ = 46838282400. Its totient is φ = 3167078400.

The previous prime is 12537035993. The next prime is 12537036037. The reversal of 12537036000 is 63073521.

It is a happy number.

12537036000 is a `hidden beast` number, since 1 + 2 + 53 + 7 + 0 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 674836 + ... + 693164.

It is an arithmetic number, because the mean of its divisors is an integer number (162632925).

Almost surely, 2^12537036000 is an apocalyptic number.

12537036000 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 12537036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23419141200).

12537036000 is an abundant number, since it is smaller than the sum of its proper divisors (34301246400).

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

12537036000 is a wasteful number, since it uses less digits than its factorization.

12537036000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18379 (or 18358 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The spelling of 12537036000 in words is "twelve billion, five hundred thirty-seven million, thirty-six thousand".