12116000 has 96 divisors (see below), whose sum is σ = 32196528. Its totient is φ = 4454400.

The previous prime is 12115969. The next prime is 12116011. The reversal of 12116000 is 61121.

It can be written as a sum of positive squares in 8 ways, for example, as 364816 + 11751184 = 604^2 + 3428^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51884 + ... + 52116.

Almost surely, 2^12116000 is an apocalyptic number.

12116000 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 12116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16098264).

12116000 is an abundant number, since it is smaller than the sum of its proper divisors (20080528).

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

12116000 is a wasteful number, since it uses less digits than its factorization.

12116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 12116000 is about 3480.8045047086. The cubic root of 12116000 is about 229.6781888801.

Adding to 12116000 its reverse (61121), we get a palindrome (12177121).

The spelling of 12116000 in words is "twelve million, one hundred sixteen thousand".