12198912 has 132 divisors (see below), whose sum is σ = 37435536. Its totient is φ = 3502080.

The previous prime is 12198889. The next prime is 12198913. The reversal of 12198912 is 21989121.

It is a tau number, because it is divible by the number of its divisors (132).

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (2592) is a multiple of the sum of its prime factors (72).

It is not an unprimeable number, because it can be changed into a prime (12198913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 642039 + ... + 642057.

Almost surely, 2^12198912 is an apocalyptic number.

12198912 is a gapful number since it is divisible by the number (12) 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 12198912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18717768).

12198912 is an abundant number, since it is smaller than the sum of its proper divisors (25236624).

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

12198912 is a wasteful number, since it uses less digits than its factorization.

12198912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 35 counting only the distinct ones).

The product of its digits is 2592, while the sum is 33.

The square root of 12198912 is about 3492.6940890951. The cubic root of 12198912 is about 230.2009082586.

Multiplying 12198912 by its sum of digits (33), we get a square (402564096 = 20064²).

12198912 divided by its sum of digits (33) gives a square (369664 = 608²).

The spelling of 12198912 in words is "twelve million, one hundred ninety-eight thousand, nine hundred twelve".