12477120 has 112 divisors (see below), whose sum is σ = 40709088. Its totient is φ = 3235840.

The previous prime is 12477107. The next prime is 12477139. The reversal of 12477120 is 2177421.

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

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, 39202 + ... + 39518.

It is an arithmetic number, because the mean of its divisors is an integer number (363474).

Almost surely, 2^12477120 is an apocalyptic number.

12477120 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 12477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20354544).

12477120 is an abundant number, since it is smaller than the sum of its proper divisors (28231968).

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

12477120 is a wasteful number, since it uses less digits than its factorization.

12477120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 12477120 is about 3532.2967032796. The cubic root of 12477120 is about 231.9377557948.

The spelling of 12477120 in words is "twelve million, four hundred seventy-seven thousand, one hundred twenty".