13123042200 has 192 divisors, whose sum is σ = 46304848800. Its totient is φ = 3414067200.

The previous prime is 13123042183. The next prime is 13123042201. The reversal of 13123042200 is 224032131.

13123042200 is a `hidden beast` number, since 13 + 1 + 230 + 422 + 0 + 0 = 666.

13123042200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123042201) 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 47 ways as a sum of consecutive naturals, for example, 191764 + ... + 251036.

Almost surely, 2^13123042200 is an apocalyptic number.

13123042200 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 13123042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23152424400).

13123042200 is an abundant number, since it is smaller than the sum of its proper divisors (33181806600).

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

13123042200 is a wasteful number, since it uses less digits than its factorization.

13123042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59339 (or 59324 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13123042200 its reverse (224032131), we get a palindrome (13347074331).

The spelling of 13123042200 in words is "thirteen billion, one hundred twenty-three million, forty-two thousand, two hundred".