201122001120 has 768 divisors, whose sum is σ = 713520783360. Its totient is φ = 47419416576.

The previous prime is 201122001109. The next prime is 201122001121. The reversal of 201122001120 is 21100221102.

201122001120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201122001096 and 201122001105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122001121) 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 127 ways as a sum of consecutive naturals, for example, 1204323277 + ... + 1204323443.

It is an arithmetic number, because the mean of its divisors is an integer number (929063520).

Almost surely, 2^201122001120 is an apocalyptic number.

201122001120 is a gapful number since it is divisible by the number (20) 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 201122001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356760391680).

201122001120 is an abundant number, since it is smaller than the sum of its proper divisors (512398782240).

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

201122001120 is a wasteful number, since it uses less digits than its factorization.

201122001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201122001120 its reverse (21100221102), we get a palindrome (222222222222).

The spelling of 201122001120 in words is "two hundred one billion, one hundred twenty-two million, one thousand, one hundred twenty".