12474118272 has 384 divisors, whose sum is σ = 42783206400. Its totient is φ = 3128371200.

The previous prime is 12474118231. The next prime is 12474118289. The reversal of 12474118272 is 27281147421.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12474118272.

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, 28414629 + ... + 28415067.

It is an arithmetic number, because the mean of its divisors is an integer number (111414600).

Almost surely, 2^12474118272 is an apocalyptic number.

12474118272 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 12474118272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21391603200).

12474118272 is an abundant number, since it is smaller than the sum of its proper divisors (30309088128).

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

12474118272 is a wasteful number, since it uses less digits than its factorization.

12474118272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 493 counting only the distinct ones).

The product of its digits is 50176, while the sum is 39.

The spelling of 12474118272 in words is "twelve billion, four hundred seventy-four million, one hundred eighteen thousand, two hundred seventy-two".