12882300 has 72 divisors (see below), whose sum is σ = 38914176. Its totient is φ = 3284160.

The previous prime is 12882299. The next prime is 12882319. The reversal of 12882300 is 328821.

It is a super-3 number, since 3×12882300³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5967 + ... + 7833.

Almost surely, 2^12882300 is an apocalyptic number.

12882300 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 12882300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19457088).

12882300 is an abundant number, since it is smaller than the sum of its proper divisors (26031876).

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

12882300 is a wasteful number, since it uses less digits than its factorization.

12882300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12882300 is about 3589.1921096536. The cubic root of 12882300 is about 234.4216955849.

It can be divided in two parts, 128 and 82300, that added together give a palindrome (82428).

The spelling of 12882300 in words is "twelve million, eight hundred eighty-two thousand, three hundred".