12487737600 has 1080 divisors, whose sum is σ = 53132614920. Its totient is φ = 2866544640.

The previous prime is 12487737557. The next prime is 12487737601. The reversal of 12487737600 is 673778421.

12487737600 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 7 + 7 + 37 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2672476416 + 9815261184 = 51696^2 + 99072^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12487737601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 114566346 + ... + 114566454.

Almost surely, 2^12487737600 is an apocalyptic number.

12487737600 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 12487737600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26566307460).

12487737600 is an abundant number, since it is smaller than the sum of its proper divisors (40644877320).

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

12487737600 is a wasteful number, since it uses less digits than its factorization.

12487737600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 12487737600 in words is "twelve billion, four hundred eighty-seven million, seven hundred thirty-seven thousand, six hundred".