12120288 has 48 divisors (see below), whose sum is σ = 32006016. Its totient is φ = 4016000.

The previous prime is 12120257. The next prime is 12120293. The reversal of 12120288 is 88202121.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×12120288³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23845 + ... + 24347.

It is an arithmetic number, because the mean of its divisors is an integer number (666792).

Almost surely, 2^12120288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003008).

12120288 is an abundant number, since it is smaller than the sum of its proper divisors (19885728).

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

12120288 is a wasteful number, since it uses less digits than its factorization.

12120288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 12120288 is about 3481.4203997794. The cubic root of 12120288 is about 229.7052809873.

The spelling of 12120288 in words is "twelve million, one hundred twenty thousand, two hundred eighty-eight".