12477520 has 60 divisors (see below), whose sum is σ = 31912020. Its totient is φ = 4533760.

The previous prime is 12477467. The next prime is 12477529. The reversal of 12477520 is 2577421.

It can be written as a sum of positive squares in 2 ways, for example, as 7441984 + 5035536 = 2728^2 + 2244^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12477529) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9036 + ... + 10324.

It is an arithmetic number, because the mean of its divisors is an integer number (531867).

Almost surely, 2^12477520 is an apocalyptic number.

12477520 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 12477520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15956010).

12477520 is an abundant number, since it is smaller than the sum of its proper divisors (19434500).

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

12477520 is a wasteful number, since it uses less digits than its factorization.

12477520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 12477520 is about 3532.3533232110. The cubic root of 12477520 is about 231.9402343078.

Subtracting from 12477520 its reverse (2577421), we obtain a palindrome (9900099).

The spelling of 12477520 in words is "twelve million, four hundred seventy-seven thousand, five hundred twenty".