12422100 has 72 divisors (see below), whose sum is σ = 36747648. Its totient is φ = 3238400.

The previous prime is 12422083. The next prime is 12422119. The reversal of 12422100 is 122421.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13660 + ... + 14540.

It is an arithmetic number, because the mean of its divisors is an integer number (510384).

Almost surely, 2^12422100 is an apocalyptic number.

12422100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3524×3525.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18373824).

12422100 is an abundant number, since it is smaller than the sum of its proper divisors (24325548).

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

12422100 is a wasteful number, since it uses less digits than its factorization.

12422100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 12422100 is about 3524.4999645340. The cubic root of 12422100 is about 231.5963303430.

Adding to 12422100 its reverse (122421), we get a palindrome (12544521).

The spelling of 12422100 in words is "twelve million, four hundred twenty-two thousand, one hundred".