12387866400 has 1296 divisors, whose sum is σ = 56972306664. Its totient is φ = 2508226560.

The previous prime is 12387866377. The next prime is 12387866419. The reversal of 12387866400 is 466878321.

12387866400 is a `hidden beast` number, since 1 + 238 + 7 + 8 + 6 + 6 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1203534864 + 11184331536 = 34692^2 + 105756^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 169696764 + ... + 169696836.

Almost surely, 2^12387866400 is an apocalyptic number.

12387866400 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 12387866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28486153332).

12387866400 is an abundant number, since it is smaller than the sum of its proper divisors (44584440264).

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

12387866400 is a wasteful number, since it uses less digits than its factorization.

12387866400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12387866400 in words is "twelve billion, three hundred eighty-seven million, eight hundred sixty-six thousand, four hundred".