12120240 has 80 divisors (see below), whose sum is σ = 40997376. Its totient is φ = 2937600.

The previous prime is 12120239. The next prime is 12120257. The reversal of 12120240 is 4202121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 345 + ... + 4935.

Almost surely, 2^12120240 is an apocalyptic number.

12120240 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 12120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20498688).

12120240 is an abundant number, since it is smaller than the sum of its proper divisors (28877136).

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

12120240 is a wasteful number, since it uses less digits than its factorization.

12120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4618 (or 4612 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 12120240 is about 3481.4135060346. The cubic root of 12120240 is about 229.7049777528.

Adding to 12120240 its reverse (4202121), we get a palindrome (16322361).

The spelling of 12120240 in words is "twelve million, one hundred twenty thousand, two hundred forty".