12146904 has 144 divisors (see below), whose sum is σ = 41881320. Its totient is φ = 3144960.

The previous prime is 12146903. The next prime is 12146917. The reversal of 12146904 is 40964121.

12146904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12146903) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38652 + ... + 38964.

Almost surely, 2^12146904 is an apocalyptic number.

12146904 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 12146904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20940660).

12146904 is an abundant number, since it is smaller than the sum of its proper divisors (29734416).

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

12146904 is a wasteful number, since it uses less digits than its factorization.

12146904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12146904 is about 3485.2408812018. The cubic root of 12146904 is about 229.8733013597.

It can be divided in two parts, 1214 and 6904, that added together give a palindrome (8118).

The spelling of 12146904 in words is "twelve million, one hundred forty-six thousand, nine hundred four".