201120122120022 has 96 divisors (see below), whose sum is σ = 502987295004480. Its totient is φ = 56888889753600.

The previous prime is 201120122120017. The next prime is 201120122120033. The reversal of 201120122120022 is 220021221021102.

It is a happy number.

201120122120022 is a `hidden beast` number, since 20 + 1 + 1 + 201 + 221 + 200 + 22 = 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 = 201120122119977 and 201120122120004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143475358 + ... + 144870350.

It is an arithmetic number, because the mean of its divisors is an integer number (5239450989630).

Almost surely, 2^{201120122120022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201120122120022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251493647502240).

201120122120022 is an abundant number, since it is smaller than the sum of its proper divisors (301867172884458).

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

201120122120022 is a wasteful number, since it uses less digits than its factorization.

201120122120022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406438 (or 1406435 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201120122120022 its reverse (220021221021102), we get a palindrome (421141343141124).

The spelling of 201120122120022 in words is "two hundred one trillion, one hundred twenty billion, one hundred twenty-two million, one hundred twenty thousand, twenty-two".