13122012220200 has 384 divisors, whose sum is σ = 48687352560000. Its totient is φ = 3229201797120.

The previous prime is 13122012220157. The next prime is 13122012220231. The reversal of 13122012220200 is 202221022131.

13122012220200 is a `hidden beast` number, since 13 + 1 + 220 + 12 + 220 + 200 = 666.

13122012220200 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 298959856 + ... + 299003744.

It is an arithmetic number, because the mean of its divisors is an integer number (126789980625).

Almost surely, 2^{13122012220200} is an apocalyptic number.

13122012220200 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 13122012220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24343676280000).

13122012220200 is an abundant number, since it is smaller than the sum of its proper divisors (35565340339800).

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

13122012220200 is a wasteful number, since it uses less digits than its factorization.

13122012220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48186 (or 48171 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13122012220200 its reverse (202221022131), we get a palindrome (13324233242331).

The spelling of 13122012220200 in words is "thirteen trillion, one hundred twenty-two billion, twelve million, two hundred twenty thousand, two hundred".