12987187200 has 540 divisors, whose sum is σ = 50285024608. Its totient is φ = 3185049600.

The previous prime is 12987187133. The next prime is 12987187201. The reversal of 12987187200 is 278178921.

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (12987187201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47923065 + ... + 47923335.

Almost surely, 2^12987187200 is an apocalyptic number.

12987187200 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 12987187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25142512304).

12987187200 is an abundant number, since it is smaller than the sum of its proper divisors (37297837408).

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

12987187200 is a wasteful number, since it uses less digits than its factorization.

12987187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 12987187200 in words is "twelve billion, nine hundred eighty-seven million, one hundred eighty-seven thousand, two hundred".