122120122110 has 96 divisors (see below), whose sum is σ = 341917783200. Its totient is φ = 27833073408.

The previous prime is 122120122079. The next prime is 122120122127. The reversal of 122120122110 is 11221021221.

It is a super-2 number, since 2×122120122110² (a number of 23 digits) contains 22 as substring.

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 122120122110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394012 + ... + 632048.

It is an arithmetic number, because the mean of its divisors is an integer number (3561643575).

Almost surely, 2^122120122110 is an apocalyptic number.

122120122110 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 122120122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170958891600).

122120122110 is an abundant number, since it is smaller than the sum of its proper divisors (219797661090).

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

122120122110 is a wasteful number, since it uses less digits than its factorization.

122120122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238410 (or 238403 counting only the distinct ones).

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

Adding to 122120122110 its reverse (11221021221), we get a palindrome (133341143331).

The spelling of 122120122110 in words is "one hundred twenty-two billion, one hundred twenty million, one hundred twenty-two thousand, one hundred ten".