12152320 has 80 divisors (see below), whose sum is σ = 30051648. Its totient is φ = 4710400.

The previous prime is 12152299. The next prime is 12152321. The reversal of 12152320 is 2325121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12152294 and 12152303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12152321) 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, 120270 + ... + 120370.

Almost surely, 2^12152320 is an apocalyptic number.

12152320 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 12152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15025824).

12152320 is an abundant number, since it is smaller than the sum of its proper divisors (17899328).

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

12152320 is an equidigital number, since it uses as much as digits as its factorization.

12152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 12152320 is about 3486.0177853821. The cubic root of 12152320 is about 229.9074611974.

Adding to 12152320 its reverse (2325121), we get a palindrome (14477441).

It can be divided in two parts, 121 and 52320, that added together give a square (52441 = 229²).

The spelling of 12152320 in words is "twelve million, one hundred fifty-two thousand, three hundred twenty".