12112100 has 144 divisors (see below), whose sum is σ = 35581056. Its totient is φ = 3484800.

The previous prime is 12112069. The next prime is 12112127. The reversal of 12112100 is 121121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 931694 + ... + 931706.

Almost surely, 2^12112100 is an apocalyptic number.

12112100 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 12112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17790528).

12112100 is an abundant number, since it is smaller than the sum of its proper divisors (23468956).

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

12112100 is a wasteful number, since it uses less digits than its factorization.

12112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 12112100 is about 3480.2442443024. The cubic root of 12112100 is about 229.6535426530.

Adding to 12112100 its reverse (121121), we get a palindrome (12233221).

Multiplying 12112100 by its reverse (121121), we get a square (1467029664100 = 1211210²).

12112100 divided by its reverse (121121) gives a square (100 = 10²).

It can be divided in two parts, 121 and 12100, that multiplied together give a square (1464100 = 1210²).

The spelling of 12112100 in words is "twelve million, one hundred twelve thousand, one hundred".