12164100 has 72 divisors (see below), whose sum is σ = 37914240. Its totient is φ = 2993280.

The previous prime is 12164077. The next prime is 12164101. The reversal of 12164100 is 146121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12164100.

It is not an unprimeable number, because it can be changed into a prime (12164101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2341 + ... + 5459.

Almost surely, 2^12164100 is an apocalyptic number.

12164100 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 12164100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18957120).

12164100 is an abundant number, since it is smaller than the sum of its proper divisors (25750140).

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

12164100 is a wasteful number, since it uses less digits than its factorization.

12164100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 12164100 is about 3487.7069831051. The cubic root of 12164100 is about 229.9817250760.

The spelling of 12164100 in words is "twelve million, one hundred sixty-four thousand, one hundred".