12127104 has 192 divisors, whose sum is σ = 40698000. Its totient is φ = 3548160.

The previous prime is 12127091. The next prime is 12127109. The reversal of 12127104 is 40172121.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12127109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418162 + ... + 418190.

Almost surely, 2^12127104 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 12127104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20349000).

12127104 is an abundant number, since it is smaller than the sum of its proper divisors (28570896).

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

12127104 is a wasteful number, since it uses less digits than its factorization.

12127104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 12127104 is about 3482.3991729841. The cubic root of 12127104 is about 229.7483321589.

Adding to 12127104 its reverse (40172121), we get a palindrome (52299225).

It can be divided in two parts, 121 and 27104, that added together give a square (27225 = 165²).

The spelling of 12127104 in words is "twelve million, one hundred twenty-seven thousand, one hundred four".