12296000 has 112 divisors (see below), whose sum is σ = 32095440. Its totient is φ = 4659200.

The previous prime is 12295967. The next prime is 12296017. The reversal of 12296000 is 69221.

It can be written as a sum of positive squares in 8 ways, for example, as 2611456 + 9684544 = 1616^2 + 3112^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 231974 + ... + 232026.

Almost surely, 2^12296000 is an apocalyptic number.

12296000 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 12296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16047720).

12296000 is an abundant number, since it is smaller than the sum of its proper divisors (19799440).

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

12296000 is an equidigital number, since it uses as much as digits as its factorization.

12296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 12296000 is about 3506.5652710309. The cubic root of 12296000 is about 230.8099984955.

The spelling of 12296000 in words is "twelve million, two hundred ninety-six thousand".