12505016832 has 320 divisors, whose sum is σ = 43349796864. Its totient is φ = 3106160640.

The previous prime is 12505016827. The next prime is 12505016863. The reversal of 12505016832 is 23861050521.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 12505016793 and 12505016802.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2717958 + ... + 2722554.

Almost surely, 2^12505016832 is an apocalyptic number.

12505016832 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 12505016832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21674898432).

12505016832 is an abundant number, since it is smaller than the sum of its proper divisors (30844780032).

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

12505016832 is a wasteful number, since it uses less digits than its factorization.

12505016832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4659 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 12505016832 in words is "twelve billion, five hundred five million, sixteen thousand, eight hundred thirty-two".