12883800 has 96 divisors (see below), whose sum is σ = 40510800. Its totient is φ = 3386880.

The previous prime is 12883777. The next prime is 12883811. The reversal of 12883800 is 838821.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 65302 + ... + 65498.

Almost surely, 2^12883800 is an apocalyptic number.

12883800 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 12883800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20255400).

12883800 is an abundant number, since it is smaller than the sum of its proper divisors (27627000).

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

12883800 is a wasteful number, since it uses less digits than its factorization.

12883800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 12883800 is about 3589.4010642446. The cubic root of 12883800 is about 234.4307938281.

The spelling of 12883800 in words is "twelve million, eight hundred eighty-three thousand, eight hundred".