12889842 has 48 divisors (see below), whose sum is σ = 31764960. Its totient is φ = 3464832.

The previous prime is 12889823. The next prime is 12889843. The reversal of 12889842 is 24898821.

It is a super-2 number, since 2×12889842² = 332296053569928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12889794 and 12889803.

It is not an unprimeable number, because it can be changed into a prime (12889843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3709 + ... + 6287.

It is an arithmetic number, because the mean of its divisors is an integer number (661770).

Almost surely, 2^12889842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12889842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15882480).

12889842 is an abundant number, since it is smaller than the sum of its proper divisors (18875118).

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

12889842 is a wasteful number, since it uses less digits than its factorization.

12889842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2608 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 12889842 is about 3590.2426101867. The cubic root of 12889842 is about 234.4674344025.

It can be divided in two parts, 12889 and 842, that added together give a palindrome (13731).

The spelling of 12889842 in words is "twelve million, eight hundred eighty-nine thousand, eight hundred forty-two".