12678120000 has 1400 divisors, whose sum is σ = 59144017856. Its totient is φ = 2612736000.

The previous prime is 12678119989. The next prime is 12678120011. The reversal of 12678120000 is 2187621.

It is an interprime number because it is at equal distance from previous prime (12678119989) and next prime (12678120011).

It is a tau number, because it is divible by the number of its divisors (1400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 294839979 + ... + 294840021.

Almost surely, 2^12678120000 is an apocalyptic number.

12678120000 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 12678120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29572008928).

12678120000 is an abundant number, since it is smaller than the sum of its proper divisors (46465897856).

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

12678120000 is an equidigital number, since it uses as much as digits as its factorization.

12678120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 12678120000 in words is "twelve billion, six hundred seventy-eight million, one hundred twenty thousand".