122200022201120 has 96 divisors (see below), whose sum is σ = 289365910202880. Its totient is φ = 48766978391040.

The previous prime is 122200022201119. The next prime is 122200022201123. The reversal of 122200022201120 is 21102220002221.

It is a happy number.

It is a super-3 number, since 3×122200022201120³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (122200022201123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119451146 + ... + 120469814.

It is an arithmetic number, because the mean of its divisors is an integer number (3014228231280).

Almost surely, 2^{122200022201120} is an apocalyptic number.

122200022201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122200022201120 is an abundant number, since it is smaller than the sum of its proper divisors (167165888001760).

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

122200022201120 is a wasteful number, since it uses less digits than its factorization.

122200022201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020418 (or 1020410 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 122200022201120 its reverse (21102220002221), we get a palindrome (143302242203341).

The spelling of 122200022201120 in words is "one hundred twenty-two trillion, two hundred billion, twenty-two million, two hundred one thousand, one hundred twenty".