12052116 has 72 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 3691776.

The previous prime is 12052093. The next prime is 12052123. The reversal of 12052116 is 61125021.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 28555 + ... + 28973.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 2^12052116 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 12052116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

12052116 is an abundant number, since it is smaller than the sum of its proper divisors (20969964).

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

12052116 is a wasteful number, since it uses less digits than its factorization.

12052116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 12052116 is about 3471.6157621488. The cubic root of 12052116 is about 229.2738027909.

Adding to 12052116 its reverse (61125021), we get a palindrome (73177137).

It can be divided in two parts, 1205 and 2116, that added together give a triangular number (3321 = T₈₁).

The spelling of 12052116 in words is "twelve million, fifty-two thousand, one hundred sixteen".