12111904 has 48 divisors (see below), whose sum is σ = 27518400. Its totient is φ = 5140224.

The previous prime is 12111901. The next prime is 12111907. The reversal of 12111904 is 40911121.

It is an interprime number because it is at equal distance from previous prime (12111901) and next prime (12111907).

It is a plaindrome in base 6.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (12111901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30942 + ... + 31330.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 2^12111904 is an apocalyptic number.

12111904 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 12111904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13759200).

12111904 is an abundant number, since it is smaller than the sum of its proper divisors (15406496).

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

12111904 is a wasteful number, since it uses less digits than its factorization.

12111904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 12111904 is about 3480.2160852453. The cubic root of 12111904 is about 229.6523038825.

The spelling of 12111904 in words is "twelve million, one hundred eleven thousand, nine hundred four".