12288900 has 144 divisors (see below), whose sum is σ = 40247424. Its totient is φ = 2872320.

The previous prime is 12288869. The next prime is 12288907. The reversal of 12288900 is 988221.

12288900 = T₉₆ + T₉₇ + ... + T₄₂₀.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (12288907) by changing a digit.

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, 89632 + ... + 89768.

It is an arithmetic number, because the mean of its divisors is an integer number (279496).

Almost surely, 2^12288900 is an apocalyptic number.

12288900 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 12288900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20123712).

12288900 is an abundant number, since it is smaller than the sum of its proper divisors (27958524).

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

12288900 is a wasteful number, since it uses less digits than its factorization.

12288900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 12288900 is about 3505.5527381570. The cubic root of 12288900 is about 230.7655648990.

The spelling of 12288900 in words is "twelve million, two hundred eighty-eight thousand, nine hundred".