12268472832 has 480 divisors, whose sum is σ = 44858271744. Its totient is φ = 3135283200.

The previous prime is 12268472791. The next prime is 12268472851. The reversal of 12268472832 is 23827486221.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25191693 + ... + 25192179.

Almost surely, 2^12268472832 is an apocalyptic number.

12268472832 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 12268472832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22429135872).

12268472832 is an abundant number, since it is smaller than the sum of its proper divisors (32589798912).

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

12268472832 is a wasteful number, since it uses less digits than its factorization.

12268472832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 581 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 12268472832 in words is "twelve billion, two hundred sixty-eight million, four hundred seventy-two thousand, eight hundred thirty-two".