12293120 has 110 divisors (see below), whose sum is σ = 34401882. Its totient is φ = 4214784.

The previous prime is 12293117. The next prime is 12293137. The reversal of 12293120 is 2139221.

It can be written as a sum of positive squares in only one way, i.e., 9834496 + 2458624 = 3136^2 + 1568^2 .

It is a super-2 number, since 2×12293120² = 302241598668800, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 12293092 and 12293101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1756157 + ... + 1756163.

Almost surely, 2^12293120 is an apocalyptic number.

12293120 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 12293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17200941).

12293120 is an abundant number, since it is smaller than the sum of its proper divisors (22108762).

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

12293120 is an frugal number, since it uses more digits than its factorization.

12293120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 12293120 is about 3506.1545887197. The cubic root of 12293120 is about 230.7919767893.

Multiplying 12293120 by its sum of digits (20), we get a square (245862400 = 15680²).

12293120 divided by its sum of digits (20) gives a 4-th power (614656 = 28⁴).

The spelling of 12293120 in words is "twelve million, two hundred ninety-three thousand, one hundred twenty".