12300960672 has 720 divisors, whose sum is σ = 49054553856. Its totient is φ = 2942438400.

The previous prime is 12300960629. The next prime is 12300960739. The reversal of 12300960672 is 27606900321.

12300960672 is a `hidden beast` number, since 12 + 30 + 0 + 9 + 606 + 7 + 2 = 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 119 ways as a sum of consecutive naturals, for example, 28540297 + ... + 28540727.

Almost surely, 2^12300960672 is an apocalyptic number.

12300960672 is a gapful number since it is divisible by the number (12) 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 12300960672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24527276928).

12300960672 is an abundant number, since it is smaller than the sum of its proper divisors (36753593184).

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

12300960672 is a wasteful number, since it uses less digits than its factorization.

12300960672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 12300960672 in words is "twelve billion, three hundred million, nine hundred sixty thousand, six hundred seventy-two".