122021302233210 has 256 divisors, whose sum is σ = 315429053644800. Its totient is φ = 30147090914304.

The previous prime is 122021302233203. The next prime is 122021302233253. The reversal of 122021302233210 is 12332203120221.

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 127 ways as a sum of consecutive naturals, for example, 2306483619 + ... + 2306536521.

It is an arithmetic number, because the mean of its divisors is an integer number (1232144740800).

Almost surely, 2^{122021302233210} is an apocalyptic number.

122021302233210 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 122021302233210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157714526822400).

122021302233210 is an abundant number, since it is smaller than the sum of its proper divisors (193407751411590).

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

122021302233210 is a wasteful number, since it uses less digits than its factorization.

122021302233210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53965.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 122021302233210 its reverse (12332203120221), we get a palindrome (134353505353431).

The spelling of 122021302233210 in words is "one hundred twenty-two trillion, twenty-one billion, three hundred two million, two hundred thirty-three thousand, two hundred ten".