12378120 has 128 divisors (see below), whose sum is σ = 40176000. Its totient is φ = 3041280.

The previous prime is 12378103. The next prime is 12378127. The reversal of 12378120 is 2187321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12378127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139036 + ... + 139124.

It is an arithmetic number, because the mean of its divisors is an integer number (313875).

Almost surely, 2^12378120 is an apocalyptic number.

12378120 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 12378120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088000).

12378120 is an abundant number, since it is smaller than the sum of its proper divisors (27797880).

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

12378120 is a wasteful number, since it uses less digits than its factorization.

12378120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 12378120 is about 3518.2552494099. The cubic root of 12378120 is about 231.3226876443.

The spelling of 12378120 in words is "twelve million, three hundred seventy-eight thousand, one hundred twenty".