122010211212200 has 192 divisors, whose sum is σ = 301541204889600. Its totient is φ = 45780759878400.

The previous prime is 122010211212187. The next prime is 122010211212223. The reversal of 122010211212200 is 2212112010221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4267419905 + ... + 4267448495.

It is an arithmetic number, because the mean of its divisors is an integer number (1570527108800).

Almost surely, 2^{122010211212200} is an apocalyptic number.

122010211212200 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 122010211212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150770602444800).

122010211212200 is an abundant number, since it is smaller than the sum of its proper divisors (179530993677400).

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

122010211212200 is a wasteful number, since it uses less digits than its factorization.

122010211212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39632 (or 39623 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122010211212200 its reverse (2212112010221), we get a palindrome (124222323222421).

The spelling of 122010211212200 in words is "one hundred twenty-two trillion, ten billion, two hundred eleven million, two hundred twelve thousand, two hundred".