12198900 has 144 divisors (see below), whose sum is σ = 41691776. Its totient is φ = 2695680.

The previous prime is 12198889. The next prime is 12198913. The reversal of 12198900 is 989121.

It is a super-2 number, since 2×12198900² = 297626322420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77622 + ... + 77778.

Almost surely, 2^12198900 is an apocalyptic number.

12198900 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 12198900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20845888).

12198900 is an abundant number, since it is smaller than the sum of its proper divisors (29492876).

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

12198900 is a wasteful number, since it uses less digits than its factorization.

12198900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 12198900 is about 3492.6923712231. The cubic root of 12198900 is about 230.2008327761.

The spelling of 12198900 in words is "twelve million, one hundred ninety-eight thousand, nine hundred".