12380065920 has 320 divisors, whose sum is σ = 44573379840. Its totient is φ = 3274352640.

The previous prime is 12380065903. The next prime is 12380065927. The reversal of 12380065920 is 2956008321.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12380065927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6790129 + ... + 6791951.

It is an arithmetic number, because the mean of its divisors is an integer number (139291812).

Almost surely, 2^12380065920 is an apocalyptic number.

12380065920 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 12380065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22286689920).

12380065920 is an abundant number, since it is smaller than the sum of its proper divisors (32193313920).

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

12380065920 is a wasteful number, since it uses less digits than its factorization.

12380065920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12380065920 in words is "twelve billion, three hundred eighty million, sixty-five thousand, nine hundred twenty".