12380882878720 has 144 divisors (see below), whose sum is σ = 31404827427120. Its totient is φ = 4660404682752.

The previous prime is 12380882878667. The next prime is 12380882878757. The reversal of 12380882878720 is 2787828808321.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 24701780224 + 12356181098496 = 157168^2 + 3515136^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179115526 + ... + 179184634.

It is an arithmetic number, because the mean of its divisors is an integer number (218089079355).

Almost surely, 2^{12380882878720} is an apocalyptic number.

12380882878720 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 12380882878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15702413713560).

12380882878720 is an abundant number, since it is smaller than the sum of its proper divisors (19023944548400).

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

12380882878720 is an equidigital number, since it uses as much as digits as its factorization.

12380882878720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77380 (or 77366 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 64.

The spelling of 12380882878720 in words is "twelve trillion, three hundred eighty billion, eight hundred eighty-two million, eight hundred seventy-eight thousand, seven hundred twenty".