12289630320 has 240 divisors, whose sum is σ = 45151797600. Its totient is φ = 2970900480.

The previous prime is 12289630267. The next prime is 12289630337. The reversal of 12289630320 is 2303698221.

12289630320 is a `hidden beast` number, since 12 + 2 + 8 + 9 + 630 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3078886 + ... + 3082874.

It is an arithmetic number, because the mean of its divisors is an integer number (188132490).

Almost surely, 2^12289630320 is an apocalyptic number.

12289630320 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 12289630320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22575898800).

12289630320 is an abundant number, since it is smaller than the sum of its proper divisors (32862167280).

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

12289630320 is a wasteful number, since it uses less digits than its factorization.

12289630320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4408 (or 4399 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12289630320 in words is "twelve billion, two hundred eighty-nine million, six hundred thirty thousand, three hundred twenty".