12145345600 has 42 divisors (see below), whose sum is σ = 29885144954. Its totient is φ = 4858137600.

The previous prime is 12145345579. The next prime is 12145345603. The reversal of 12145345600 is 654354121.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6594624 + 12138750976 = 2568^2 + 110176^2 .

It is not an unprimeable number, because it can be changed into a prime (12145345603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3793821 + ... + 3797020.

Almost surely, 2^12145345600 is an apocalyptic number.

12145345600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12145345600 is an abundant number, since it is smaller than the sum of its proper divisors (17739799354).

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

12145345600 is an equidigital number, since it uses as much as digits as its factorization.

12145345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7590863 (or 7590848 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 12145345600 its reverse (654354121), we get a palindrome (12799699721).

The spelling of 12145345600 in words is "twelve billion, one hundred forty-five million, three hundred forty-five thousand, six hundred".