12474846720 has 1280 divisors, whose sum is σ = 56567808000. Its totient is φ = 2540077056.

The previous prime is 12474846667. The next prime is 12474846733. The reversal of 12474846720 is 2764847421.

12474846720 is a `hidden beast` number, since 124 + 7 + 48 + 467 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 211438051 + ... + 211438109.

It is an arithmetic number, because the mean of its divisors is an integer number (44193600).

Almost surely, 2^12474846720 is an apocalyptic number.

12474846720 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 12474846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28283904000).

12474846720 is an abundant number, since it is smaller than the sum of its proper divisors (44092961280).

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

12474846720 is a wasteful number, since it uses less digits than its factorization.

12474846720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 12474846720 in words is "twelve billion, four hundred seventy-four million, eight hundred forty-six thousand, seven hundred twenty".