12671120 has 160 divisors (see below), whose sum is σ = 39211776. Its totient is φ = 3717120.

The previous prime is 12671093. The next prime is 12671123. The reversal of 12671120 is 2117621.

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 = 12671092 and 12671101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12671123) 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, 745352 + ... + 745368.

Almost surely, 2^12671120 is an apocalyptic number.

12671120 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 12671120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19605888).

12671120 is an abundant number, since it is smaller than the sum of its proper divisors (26540656).

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

12671120 is a wasteful number, since it uses less digits than its factorization.

12671120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 12671120 is about 3559.6516683518. The cubic root of 12671120 is about 233.1336704675.

Adding to 12671120 its reverse (2117621), we get a palindrome (14788741).

The spelling of 12671120 in words is "twelve million, six hundred seventy-one thousand, one hundred twenty".