12129516 has 72 divisors (see below), whose sum is σ = 35409920. Its totient is φ = 3429216.

The previous prime is 12129499. The next prime is 12129521. The reversal of 12129516 is 61592121.

12129516 is a `hidden beast` number, since 121 + 29 + 516 = 666.

12129516 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 12129516.

It is a congruent number.

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, 31815 + ... + 32193.

Almost surely, 2^12129516 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 12129516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17704960).

12129516 is an abundant number, since it is smaller than the sum of its proper divisors (23280404).

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

12129516 is a wasteful number, since it uses less digits than its factorization.

12129516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 518 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 12129516 is about 3482.7454687358. The cubic root of 12129516 is about 229.7635629522.

The spelling of 12129516 in words is "twelve million, one hundred twenty-nine thousand, five hundred sixteen".