122201211120 has 80 divisors (see below), whose sum is σ = 378896641920. Its totient is φ = 32580719872.

The previous prime is 122201211113. The next prime is 122201211127. The reversal of 122201211120 is 21112102221.

It is an interprime number because it is at equal distance from previous prime (122201211113) and next prime (122201211127).

It is a tau number, because it is divible by the number of its divisors (80).

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 122201211120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201211127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1275451 + ... + 1367909.

It is an arithmetic number, because the mean of its divisors is an integer number (4736208024).

Almost surely, 2^122201211120 is an apocalyptic number.

122201211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201211120 is an abundant number, since it is smaller than the sum of its proper divisors (256695430800).

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

122201211120 is a wasteful number, since it uses less digits than its factorization.

122201211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97982 (or 97976 counting only the distinct ones).

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

Adding to 122201211120 its reverse (21112102221), we get a palindrome (143313313341).

The spelling of 122201211120 in words is "one hundred twenty-two billion, two hundred one million, two hundred eleven thousand, one hundred twenty".