122121201210 has 128 divisors (see below), whose sum is σ = 305466163200. Its totient is φ = 31225359360.

The previous prime is 122121201193. The next prime is 122121201221. The reversal of 122121201210 is 12102121221.

122121201210 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122121201210.

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 63 ways as a sum of consecutive naturals, for example, 14587906 + ... + 14596274.

It is an arithmetic number, because the mean of its divisors is an integer number (2386454400).

Almost surely, 2^122121201210 is an apocalyptic number.

122121201210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122121201210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152733081600).

122121201210 is an abundant number, since it is smaller than the sum of its proper divisors (183344961990).

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

122121201210 is a wasteful number, since it uses less digits than its factorization.

122121201210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8636.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122121201210 its reverse (12102121221), we get a palindrome (134223322431).

The spelling of 122121201210 in words is "one hundred twenty-two billion, one hundred twenty-one million, two hundred one thousand, two hundred ten".