Search a number
12240000 = 27325417

12240000 has 240 divisors, whose sum is σ = 46602270. Its totient is φ = 3072000.

The previous prime is 12239999. The next prime is 12240013. The reversal of 12240000 is 4221.

It can be written as a sum of positive squares in 5 ways, for example, as 788544 + 11451456 = 888^2 + 3384^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 719992 + ... + 720008.

Almost surely, 212240000 is an apocalyptic number.

12240000 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 12240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23301135).

12240000 is an abundant number, since it is smaller than the sum of its proper divisors (34362270).

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

12240000 is an equidigital number, since it uses as much as digits as its factorization.

12240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 12240000 is about 3498.5711369072. The cubic root of 12240000 is about 230.4590705022.

Adding to 12240000 its reverse (4221), we get a palindrome (12244221).

The spelling of 12240000 in words is "twelve million, two hundred forty thousand".