12883104 has 192 divisors, whose sum is σ = 42900480. Its totient is φ = 3732480.

The previous prime is 12883103. The next prime is 12883109. The reversal of 12883104 is 40138821.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12883103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348174 + ... + 348210.

It is an arithmetic number, because the mean of its divisors is an integer number (223440).

Almost surely, 2^12883104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12883104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21450240).

12883104 is an abundant number, since it is smaller than the sum of its proper divisors (30017376).

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

12883104 is a wasteful number, since it uses less digits than its factorization.

12883104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 12883104 is about 3589.3041108271. The cubic root of 12883104 is about 234.4265723311.

The spelling of 12883104 in words is "twelve million, eight hundred eighty-three thousand, one hundred four".