201222122121120 has 96 divisors (see below), whose sum is σ = 634028390267328. Its totient is φ = 53644104050688.

The previous prime is 201222122121103. The next prime is 201222122121127. The reversal of 201222122121120 is 21121221222102.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (201222122121127) 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, 57391429 + ... + 60796548.

It is an arithmetic number, because the mean of its divisors is an integer number (6604462398618).

Almost surely, 2^{201222122121120} is an apocalyptic number.

201222122121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201222122121120 is an abundant number, since it is smaller than the sum of its proper divisors (432806268146208).

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

201222122121120 is a wasteful number, since it uses less digits than its factorization.

201222122121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118191542 (or 118191534 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 201222122121120 its reverse (21121221222102), we get a palindrome (222343343343222).

The spelling of 201222122121120 in words is "two hundred one trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty".