12878092800 has 300 divisors, whose sum is σ = 47666605206. Its totient is φ = 3433881600.

The previous prime is 12878092789. The next prime is 12878092811. The reversal of 12878092800 is 829087821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12878092789) and next prime (12878092811).

It can be written as a sum of positive squares in 3 ways, for example, as 12198760704 + 679332096 = 110448^2 + 26064^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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 29 ways as a sum of consecutive naturals, for example, 1030590 + ... + 1043010.

Almost surely, 2^12878092800 is an apocalyptic number.

12878092800 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 12878092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23833302603).

12878092800 is an abundant number, since it is smaller than the sum of its proper divisors (34788512406).

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

12878092800 is an equidigital number, since it uses as much as digits as its factorization.

12878092800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12461 (or 12431 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 12878092800 in words is "twelve billion, eight hundred seventy-eight million, ninety-two thousand, eight hundred".