12842004 has 108 divisors (see below), whose sum is σ = 38028704. Its totient is φ = 3303168.

The previous prime is 12841991. The next prime is 12842023. The reversal of 12842004 is 40024821.

12842004 = T₁₉₁₂ + T₁₉₁₃ + ... + T₁₉₁₈.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 35 ways as a sum of consecutive naturals, for example, 558337 + ... + 558359.

Almost surely, 2^12842004 is an apocalyptic number.

12842004 is a gapful number since it is divisible by the number (14) 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 12842004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19014352).

12842004 is an abundant number, since it is smaller than the sum of its proper divisors (25186700).

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

12842004 is a wasteful number, since it uses less digits than its factorization.

12842004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 12842004 is about 3583.5741934555. The cubic root of 12842004 is about 234.1770155942.

Multiplying 12842004 by its sum of digits (21), we get a square (269682084 = 16422²).

12842004 divided by its sum of digits (21) gives a square (611524 = 782²).

Adding to 12842004 its reverse (40024821), we get a palindrome (52866825).

The spelling of 12842004 in words is "twelve million, eight hundred forty-two thousand, four".