12631120 has 20 divisors (see below), whose sum is σ = 29367540. Its totient is φ = 5052416.

The previous prime is 12631111. The next prime is 12631141. The reversal of 12631120 is 2113621.

It can be written as a sum of positive squares in 2 ways, for example, as 8271376 + 4359744 = 2876^2 + 2088^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12631094 and 12631103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78865 + ... + 79024.

It is an arithmetic number, because the mean of its divisors is an integer number (1468377).

Almost surely, 2^12631120 is an apocalyptic number.

12631120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12631120 is an abundant number, since it is smaller than the sum of its proper divisors (16736420).

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

12631120 is a wasteful number, since it uses less digits than its factorization.

12631120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157902 (or 157896 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 12631120 is about 3554.0286999404. The cubic root of 12631120 is about 232.8880942603. Note that the first 3 decimals are identical.

Adding to 12631120 its reverse (2113621), we get a palindrome (14744741).

The spelling of 12631120 in words is "twelve million, six hundred thirty-one thousand, one hundred twenty".