12123100 has 72 divisors (see below), whose sum is σ = 29248128. Its totient is φ = 4324800.

The previous prime is 12123053. The next prime is 12123101. The reversal of 12123100 is 132121.

It is a super-2 number, since 2×12123100² = 293939107220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123101) 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, 113247 + ... + 113353.

It is an arithmetic number, because the mean of its divisors is an integer number (406224).

Almost surely, 2^12123100 is an apocalyptic number.

12123100 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 12123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14624064).

12123100 is an abundant number, since it is smaller than the sum of its proper divisors (17125028).

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

12123100 is a wasteful number, since it uses less digits than its factorization.

12123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 12123100 is about 3481.8242345070. The cubic root of 12123100 is about 229.7230440774.

Adding to 12123100 its reverse (132121), we get a palindrome (12255221).

The spelling of 12123100 in words is "twelve million, one hundred twenty-three thousand, one hundred".