12951187200 has 1080 divisors, whose sum is σ = 56674789248. Its totient is φ = 2856591360.

The previous prime is 12951187187. The next prime is 12951187213. The reversal of 12951187200 is 278115921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12951187187) and next prime (12951187213).

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 156038359 + ... + 156038441.

Almost surely, 2^12951187200 is an apocalyptic number.

12951187200 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 12951187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28337394624).

12951187200 is an abundant number, since it is smaller than the sum of its proper divisors (43723602048).

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

12951187200 is an equidigital number, since it uses as much as digits as its factorization.

12951187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 12951187200 in words is "twelve billion, nine hundred fifty-one million, one hundred eighty-seven thousand, two hundred".