12129408 has 48 divisors (see below), whose sum is σ = 34906950. Its totient is φ = 4042752.

The previous prime is 12129407. The next prime is 12129419. The reversal of 12129408 is 80492121.

It can be written as a sum of positive squares in only one way, i.e., 8714304 + 3415104 = 2952^2 + 1848^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12129407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4113 + ... + 6416.

Almost surely, 2^12129408 is an apocalyptic number.

12129408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12129408 is an abundant number, since it is smaller than the sum of its proper divisors (22777542).

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

12129408 is a wasteful number, since it uses less digits than its factorization.

12129408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10549 (or 10534 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12129408 is about 3482.7299636923. The cubic root of 12129408 is about 229.7628810195.

The spelling of 12129408 in words is "twelve million, one hundred twenty-nine thousand, four hundred eight".