12127382400 has 768 divisors, whose sum is σ = 48568320000. Its totient is φ = 2655313920.

The previous prime is 12127382363. The next prime is 12127382419. The reversal of 12127382400 is 428372121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95491137 + ... + 95491263.

It is an arithmetic number, because the mean of its divisors is an integer number (63240000).

Almost surely, 2^12127382400 is an apocalyptic number.

12127382400 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 12127382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24284160000).

12127382400 is an abundant number, since it is smaller than the sum of its proper divisors (36440937600).

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

12127382400 is a wasteful number, since it uses less digits than its factorization.

12127382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 12127382400 in words is "twelve billion, one hundred twenty-seven million, three hundred eighty-two thousand, four hundred".