122120001012200 has 192 divisors, whose sum is σ = 302934564696960. Its totient is φ = 45685329592320.

The previous prime is 122120001012187. The next prime is 122120001012239. The reversal of 122120001012200 is 2210100021221.

122120001012200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35385872 + ... + 38683328.

It is an arithmetic number, because the mean of its divisors is an integer number (1577784191130).

Almost surely, 2^{122120001012200} is an apocalyptic number.

122120001012200 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 122120001012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151467282348480).

122120001012200 is an abundant number, since it is smaller than the sum of its proper divisors (180814563684760).

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

122120001012200 is a wasteful number, since it uses less digits than its factorization.

122120001012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3297676 (or 3297667 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122120001012200 its reverse (2210100021221), we get a palindrome (124330101033421).

The spelling of 122120001012200 in words is "one hundred twenty-two trillion, one hundred twenty billion, one million, twelve thousand, two hundred".