12635120 has 40 divisors (see below), whose sum is σ = 30068016. Its totient is φ = 4935168.

The previous prime is 12635111. The next prime is 12635137. The reversal of 12635120 is 2153621.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12635092 and 12635101.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1604 + ... + 5276.

Almost surely, 2^12635120 is an apocalyptic number.

12635120 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 12635120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15034008).

12635120 is an abundant number, since it is smaller than the sum of its proper divisors (17432896).

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

12635120 is a wasteful number, since it uses less digits than its factorization.

12635120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 12635120 is about 3554.5913970526. The cubic root of 12635120 is about 232.9126751911.

Adding to 12635120 its reverse (2153621), we get a palindrome (14788741).

The spelling of 12635120 in words is "twelve million, six hundred thirty-five thousand, one hundred twenty".