12120072 has 32 divisors (see below), whose sum is σ = 30408000. Its totient is φ = 4025664.

The previous prime is 12120071. The next prime is 12120077. The reversal of 12120072 is 27002121.

It is a super-2 number, since 2×12120072² = 293792290570368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12120071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7653 + ... + 9099.

It is an arithmetic number, because the mean of its divisors is an integer number (950250).

Almost surely, 2^12120072 is an apocalyptic number.

12120072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12120072 is an abundant number, since it is smaller than the sum of its proper divisors (18287928).

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

12120072 is a wasteful number, since it uses less digits than its factorization.

12120072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 12120072 is about 3481.3893778203. The cubic root of 12120072 is about 229.7039164258.

Adding to 12120072 its reverse (27002121), we get a palindrome (39122193).

The spelling of 12120072 in words is "twelve million, one hundred twenty thousand, seventy-two".