12381800000 has 84 divisors (see below), whose sum is σ = 30711198420. Its totient is φ = 4952640000.

The previous prime is 12381799987. The next prime is 12381800023. The reversal of 12381800000 is 818321.

It can be written as a sum of positive squares in 6 ways, for example, as 7212765184 + 5169034816 = 84928^2 + 71896^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169046 + ... + 230954.

It is an arithmetic number, because the mean of its divisors is an integer number (365609505).

Almost surely, 2^12381800000 is an apocalyptic number.

12381800000 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 12381800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15355599210).

12381800000 is an abundant number, since it is smaller than the sum of its proper divisors (18329398420).

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

12381800000 is an frugal number, since it uses more digits than its factorization.

12381800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61946 (or 61916 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The spelling of 12381800000 in words is "twelve billion, three hundred eighty-one million, eight hundred thousand".