201122112120012 has 48 divisors (see below), whose sum is σ = 521961401226720. Its totient is φ = 66972085065216.

The previous prime is 201122112120011. The next prime is 201122112120023. The reversal of 201122112120012 is 210021211221102.

It is a super-2 number, since 2×201122112120012² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201122112120011) 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, 952935313 + ... + 953146344.

It is an arithmetic number, because the mean of its divisors is an integer number (10874195858890).

Almost surely, 2^{201122112120012} is an apocalyptic number.

It is an amenable number.

201122112120012 is an abundant number, since it is smaller than the sum of its proper divisors (320839289106708).

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

201122112120012 is a wasteful number, since it uses less digits than its factorization.

201122112120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906082647 (or 1906082639 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201122112120012 its reverse (210021211221102), we get a palindrome (411143323341114).

The spelling of 201122112120012 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twenty thousand, twelve".