12352000 has 80 divisors (see below), whose sum is σ = 30960072. Its totient is φ = 4915200.

The previous prime is 12351991. The next prime is 12352007. The reversal of 12352000 is 25321.

It can be written as a sum of positive squares in 4 ways, for example, as 2214144 + 10137856 = 1488^2 + 3184^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12352007) 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, 63904 + ... + 64096.

Almost surely, 2^12352000 is an apocalyptic number.

12352000 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 12352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15480036).

12352000 is an abundant number, since it is smaller than the sum of its proper divisors (18608072).

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

12352000 is an frugal number, since it uses more digits than its factorization.

12352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 12352000 is about 3514.5412218382. The cubic root of 12352000 is about 231.1598626061.

Adding to 12352000 its reverse (25321), we get a palindrome (12377321).

The spelling of 12352000 in words is "twelve million, three hundred fifty-two thousand".