122201000111120 has 480 divisors, whose sum is σ = 342904483184640. Its totient is φ = 39632154024960.

The previous prime is 122201000111063. The next prime is 122201000111123. The reversal of 122201000111120 is 21111000102221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 122201000111095 and 122201000111104.

It is not an unprimeable number, because it can be changed into a prime (122201000111123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39843819827 + ... + 39843822893.

It is an arithmetic number, because the mean of its divisors is an integer number (714384339968).

Almost surely, 2^{122201000111120} is an apocalyptic number.

122201000111120 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 122201000111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171452241592320).

122201000111120 is an abundant number, since it is smaller than the sum of its proper divisors (220703483073520).

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

122201000111120 is a wasteful number, since it uses less digits than its factorization.

122201000111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4251 (or 4198 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122201000111120 its reverse (21111000102221), we get a palindrome (143312000213341).

The spelling of 122201000111120 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred eleven thousand, one hundred twenty".