12349120 has 112 divisors (see below), whose sum is σ = 34747200. Its totient is φ = 4091904.

The previous prime is 12349111. The next prime is 12349133. The reversal of 12349120 is 2194321.

12349120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 12349091 and 12349100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82806 + ... + 82954.

Almost surely, 2^12349120 is an apocalyptic number.

12349120 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 12349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17373600).

12349120 is an abundant number, since it is smaller than the sum of its proper divisors (22398080).

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

12349120 is a wasteful number, since it uses less digits than its factorization.

12349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 12349120 is about 3514.1314716442. The cubic root of 12349120 is about 231.1418954172.

The spelling of 12349120 in words is "twelve million, three hundred forty-nine thousand, one hundred twenty".