12235106555200 has 84 divisors (see below), whose sum is σ = 30135850515580. Its totient is φ = 4889191587840.

The previous prime is 12235106555171. The next prime is 12235106555209. The reversal of 12235106555200 is 255560153221.

It can be written as a sum of positive squares in 6 ways, for example, as 2416209101056 + 9818897454144 = 1554416^2 + 3133512^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12235106555200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12235106555209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2174967 + ... + 5403766.

Almost surely, 2^{12235106555200} is an apocalyptic number.

12235106555200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12235106555200 is an abundant number, since it is smaller than the sum of its proper divisors (17900743960380).

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

12235106555200 is a wasteful number, since it uses less digits than its factorization.

12235106555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7579764 (or 7579749 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 37.

The spelling of 12235106555200 in words is "twelve trillion, two hundred thirty-five billion, one hundred six million, five hundred fifty-five thousand, two hundred".