12867145200 has 1080 divisors, whose sum is σ = 58061867136. Its totient is φ = 2612736000.

The previous prime is 12867145189. The next prime is 12867145201. The reversal of 12867145200 is 254176821.

12867145200 is a `hidden beast` number, since 128 + 6 + 7 + 1 + 4 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12867145201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 71089110 + ... + 71089290.

Almost surely, 2^12867145200 is an apocalyptic number.

12867145200 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 12867145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29030933568).

12867145200 is an abundant number, since it is smaller than the sum of its proper divisors (45194721936).

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

12867145200 is a wasteful number, since it uses less digits than its factorization.

12867145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 12867145200 in words is "twelve billion, eight hundred sixty-seven million, one hundred forty-five thousand, two hundred".