122110221120 has 224 divisors, whose sum is σ = 402014862720. Its totient is φ = 31365734400.

The previous prime is 122110221119. The next prime is 122110221133. The reversal of 122110221120 is 21122011221.

It is a super-2 number, since 2×122110221120² (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 122110221120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12328170 + ... + 12338070.

Almost surely, 2^122110221120 is an apocalyptic number.

122110221120 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 122110221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201007431360).

122110221120 is an abundant number, since it is smaller than the sum of its proper divisors (279904641600).

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

122110221120 is a wasteful number, since it uses less digits than its factorization.

122110221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10393 (or 10383 counting only the distinct ones).

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

Adding to 122110221120 its reverse (21122011221), we get a palindrome (143232232341).

The spelling of 122110221120 in words is "one hundred twenty-two billion, one hundred ten million, two hundred twenty-one thousand, one hundred twenty".