12164112 has 60 divisors (see below), whose sum is σ = 36052380. Its totient is φ = 3815424.

The previous prime is 12164101. The next prime is 12164147. The reversal of 12164112 is 21146121.

12164112 is a `hidden beast` number, since 1 + 21 + 641 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5934096 + 6230016 = 2436^2 + 2496^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37 + ... + 4932.

It is an arithmetic number, because the mean of its divisors is an integer number (600873).

Almost surely, 2^12164112 is an apocalyptic number.

12164112 is a gapful number since it is divisible by the number (12) 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 12164112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18026190).

12164112 is an abundant number, since it is smaller than the sum of its proper divisors (23888268).

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

12164112 is a wasteful number, since it uses less digits than its factorization.

12164112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000 (or 4991 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 12164112 is about 3487.7087034327. The cubic root of 12164112 is about 229.9818007024.

Subtracting 12164112 from its reverse (21146121), we obtain a square (8982009 = 2997²).

The spelling of 12164112 in words is "twelve million, one hundred sixty-four thousand, one hundred twelve".