12129264 has 150 divisors (see below), whose sum is σ = 41050944. Its totient is φ = 3447360.

The previous prime is 12129259. The next prime is 12129283. The reversal of 12129264 is 46292121.

12129264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12129264³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63409 + ... + 63599.

Almost surely, 2^12129264 is an apocalyptic number.

12129264 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 12129264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20525472).

12129264 is an abundant number, since it is smaller than the sum of its proper divisors (28921680).

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

12129264 is a wasteful number, since it uses less digits than its factorization.

12129264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

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

The square root of 12129264 is about 3482.7092901935. The cubic root of 12129264 is about 229.7619717697.

The spelling of 12129264 in words is "twelve million, one hundred twenty-nine thousand, two hundred sixty-four".