12435318720 has 224 divisors, whose sum is σ = 47857501440. Its totient is φ = 3014599680.

The previous prime is 12435318677. The next prime is 12435318733. The reversal of 12435318720 is 2781353421.

12435318720 is a `hidden beast` number, since 1 + 2 + 43 + 531 + 87 + 2 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 29619 + ... + 160461.

It is an arithmetic number, because the mean of its divisors is an integer number (213649560).

Almost surely, 2^12435318720 is an apocalyptic number.

12435318720 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 12435318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23928750720).

12435318720 is an abundant number, since it is smaller than the sum of its proper divisors (35422182720).

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

12435318720 is a wasteful number, since it uses less digits than its factorization.

12435318720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130880 (or 130864 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12435318720 in words is "twelve billion, four hundred thirty-five million, three hundred eighteen thousand, seven hundred twenty".