120122110000200 has 1536 divisors, whose sum is σ = 534139984281600. Its totient is φ = 21537736704000.

The previous prime is 120122110000187. The next prime is 120122110000229. The reversal of 120122110000200 is 2000011221021.

120122110000200 is digitally balanced in base 3, 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 (12).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 462470767 + ... + 462730433.

It is an arithmetic number, because the mean of its divisors is an integer number (347747385600).

Almost surely, 2^{120122110000200} is an apocalyptic number.

120122110000200 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 120122110000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267069992140800).

120122110000200 is an abundant number, since it is smaller than the sum of its proper divisors (414017874281400).

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

120122110000200 is a wasteful number, since it uses less digits than its factorization.

120122110000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259771 (or 259762 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120122110000200 its reverse (2000011221021), we get a palindrome (122122121221221).

The spelling of 120122110000200 in words is "one hundred twenty trillion, one hundred twenty-two billion, one hundred ten million, two hundred", and thus it is an aban number.