12434383872 has 154 divisors (see below), whose sum is σ = 37270126118. Its totient is φ = 4144545792.

The previous prime is 12434383847. The next prime is 12434383903. The reversal of 12434383872 is 27838343421.

It can be written as a sum of positive squares in only one way, i.e., 12422439936 + 11943936 = 111456^2 + 3456^2 .

It is a super-2 number, since 2×12434383872² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 738168 + ... + 754824.

Almost surely, 2^12434383872 is an apocalyptic number.

12434383872 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 12434383872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18635063059).

12434383872 is an abundant number, since it is smaller than the sum of its proper divisors (24835742246).

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

12434383872 is an frugal number, since it uses more digits than its factorization.

12434383872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16695 (or 16662 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 12434383872 in words is "twelve billion, four hundred thirty-four million, three hundred eighty-three thousand, eight hundred seventy-two".