122000121220110 has 256 divisors, whose sum is σ = 355955860592640. Its totient is φ = 26123761336320.

The previous prime is 122000121220099. The next prime is 122000121220111. The reversal of 122000121220110 is 11022121000221.

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 122000121220110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122000121220111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4117576776 + ... + 4117606404.

It is an arithmetic number, because the mean of its divisors is an integer number (1390452580440).

Almost surely, 2^{122000121220110} is an apocalyptic number.

122000121220110 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 122000121220110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177977930296320).

122000121220110 is an abundant number, since it is smaller than the sum of its proper divisors (233955739372530).

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

122000121220110 is a wasteful number, since it uses less digits than its factorization.

122000121220110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34971.

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

Adding to 122000121220110 its reverse (11022121000221), we get a palindrome (133022242220331).

The spelling of 122000121220110 in words is "one hundred twenty-two trillion, one hundred twenty-one million, two hundred twenty thousand, one hundred ten".