122201000020120 has 128 divisors (see below), whose sum is σ = 315985494464640. Its totient is φ = 41663598981120.

The previous prime is 122201000020111. The next prime is 122201000020123. The reversal of 122201000020120 is 21020000102221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 122201000020120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201000020123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1025348854 + ... + 1025468026.

It is an arithmetic number, because the mean of its divisors is an integer number (2468636675505).

Almost surely, 2^{122201000020120} is an apocalyptic number.

122201000020120 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 122201000020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157992747232320).

122201000020120 is an abundant number, since it is smaller than the sum of its proper divisors (193784494444520).

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

122201000020120 is a wasteful number, since it uses less digits than its factorization.

122201000020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139605 (or 139601 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122201000020120 its reverse (21020000102221), we get a palindrome (143221000122341).

The spelling of 122201000020120 in words is "one hundred twenty-two trillion, two hundred one billion, twenty thousand, one hundred twenty".