12390645120 has 256 divisors, whose sum is σ = 45329518080. Its totient is φ = 2820096000.

The previous prime is 12390645103. The next prime is 12390645133. The reversal of 12390645120 is 2154609321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3371604 + ... + 3375276.

It is an arithmetic number, because the mean of its divisors is an integer number (177068430).

Almost surely, 2^12390645120 is an apocalyptic number.

12390645120 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 12390645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22664759040).

12390645120 is an abundant number, since it is smaller than the sum of its proper divisors (32938872960).

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

12390645120 is a wasteful number, since it uses less digits than its factorization.

12390645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3953 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 12390645120 in words is "twelve billion, three hundred ninety million, six hundred forty-five thousand, one hundred twenty".