13122220300200 has 1152 divisors, whose sum is σ = 51425228574720. Its totient is φ = 2966905497600.

The previous prime is 13122220300199. The next prime is 13122220300219. The reversal of 13122220300200 is 200302222131.

13122220300200 is a `hidden beast` number, since 1 + 3 + 122 + 220 + 300 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6570965602 + ... + 6570967598.

It is an arithmetic number, because the mean of its divisors is an integer number (44639955360).

Almost surely, 2^{13122220300200} is an apocalyptic number.

13122220300200 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 13122220300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25712614287360).

13122220300200 is an abundant number, since it is smaller than the sum of its proper divisors (38303008274520).

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

13122220300200 is a wasteful number, since it uses less digits than its factorization.

13122220300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2395 counting only the distinct ones).

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

Adding to 13122220300200 its reverse (200302222131), we get a palindrome (13322522522331).

The spelling of 13122220300200 in words is "thirteen trillion, one hundred twenty-two billion, two hundred twenty million, three hundred thousand, two hundred".