12372929280 has 288 divisors, whose sum is σ = 44268134400. Its totient is φ = 3272306688.

The previous prime is 12372929269. The next prime is 12372929287. The reversal of 12372929280 is 8292927321.

It is a happy number.

12372929280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12372929287) 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 31 ways as a sum of consecutive naturals, for example, 4387711 + ... + 4390529.

It is an arithmetic number, because the mean of its divisors is an integer number (153708800).

Almost surely, 2^12372929280 is an apocalyptic number.

12372929280 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 12372929280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22134067200).

12372929280 is an abundant number, since it is smaller than the sum of its proper divisors (31895205120).

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

12372929280 is a wasteful number, since it uses less digits than its factorization.

12372929280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12372929280 in words is "twelve billion, three hundred seventy-two million, nine hundred twenty-nine thousand, two hundred eighty".