12129040 has 120 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 3759360.

The previous prime is 12129031. The next prime is 12129059. The reversal of 12129040 is 4092121.

It is a super-2 number, since 2×12129040² = 294227222643200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12128999 and 12129017.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67671 + ... + 67849.

It is an arithmetic number, because the mean of its divisors is an integer number (296856).

Almost surely, 2^12129040 is an apocalyptic number.

12129040 is a gapful number since it is divisible by the number (10) 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 12129040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

12129040 is an abundant number, since it is smaller than the sum of its proper divisors (23493680).

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

12129040 is a wasteful number, since it uses less digits than its factorization.

12129040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 12129040 is about 3482.6771311737. The cubic root of 12129040 is about 229.7605573668.

It can be divided in two parts, 121 and 29040, that added together give a triangular number (29161 = T₂₄₁).

The spelling of 12129040 in words is "twelve million, one hundred twenty-nine thousand, forty".