12104064 has 192 divisors, whose sum is σ = 42432000. Its totient is φ = 3234816.

The previous prime is 12104063. The next prime is 12104077. The reversal of 12104064 is 46040121.

12104064 = 77² + 78² + ... + 332².

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

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 (12104063) 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, 153177 + ... + 153255.

It is an arithmetic number, because the mean of its divisors is an integer number (221000).

Almost surely, 2^12104064 is an apocalyptic number.

12104064 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 12104064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21216000).

12104064 is an abundant number, since it is smaller than the sum of its proper divisors (30327936).

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

12104064 is a wasteful number, since it uses less digits than its factorization.

12104064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12104064 is about 3479.0895360712. The cubic root of 12104064 is about 229.6027420992.

Adding to 12104064 its reverse (46040121), we get a palindrome (58144185).

It can be divided in two parts, 121040 and 64, that added together give a square (121104 = 348²).

The spelling of 12104064 in words is "twelve million, one hundred four thousand, sixty-four".