12143416320 has 880 divisors, whose sum is σ = 51360376320. Its totient is φ = 2686058496.

The previous prime is 12143416309. The next prime is 12143416321. The reversal of 12143416320 is 2361434121.

It is a happy number.

12143416320 is a `hidden beast` number, since 1 + 21 + 4 + 3 + 4 + 1 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12143416321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 136442836 + ... + 136442924.

It is an arithmetic number, because the mean of its divisors is an integer number (58364064).

Almost surely, 2^12143416320 is an apocalyptic number.

12143416320 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 12143416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25680188160).

12143416320 is an abundant number, since it is smaller than the sum of its proper divisors (39216960000).

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

12143416320 is an equidigital number, since it uses as much as digits as its factorization.

12143416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 12143416320 in words is "twelve billion, one hundred forty-three million, four hundred sixteen thousand, three hundred twenty".