12375144320 has 384 divisors, whose sum is σ = 38230073280. Its totient is φ = 3746856960.

The previous prime is 12375144311. The next prime is 12375144329. The reversal of 12375144320 is 2344157321.

12375144320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12375144311) and next prime (12375144329).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12375144329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20056652 + ... + 20057268.

Almost surely, 2^12375144320 is an apocalyptic number.

12375144320 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 12375144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19115036640).

12375144320 is an abundant number, since it is smaller than the sum of its proper divisors (25854928960).

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

12375144320 is a wasteful number, since it uses less digits than its factorization.

12375144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 12375144320 in words is "twelve billion, three hundred seventy-five million, one hundred forty-four thousand, three hundred twenty".