201122001321120 has 576 divisors, whose sum is σ = 755900726870016. Its totient is φ = 48289612093440.

The previous prime is 201122001321103. The next prime is 201122001321133. The reversal of 201122001321120 is 21123100221102.

201122001321120 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 220 + 0 + 1 + 321 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 201122001321093 and 201122001321102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8621842897 + ... + 8621866223.

It is an arithmetic number, because the mean of its divisors is an integer number (1312327650816).

Almost surely, 2^{201122001321120} is an apocalyptic number.

201122001321120 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 201122001321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377950363435008).

201122001321120 is an abundant number, since it is smaller than the sum of its proper divisors (554778725548896).

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

201122001321120 is a wasteful number, since it uses less digits than its factorization.

201122001321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28553 (or 28542 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 201122001321120 its reverse (21123100221102), we get a palindrome (222245101542222).

The spelling of 201122001321120 in words is "two hundred one trillion, one hundred twenty-two billion, one million, three hundred twenty-one thousand, one hundred twenty".