201022222020120 has 192 divisors, whose sum is σ = 658672570221120. Its totient is φ = 53168327811072.

The previous prime is 201022222020031. The next prime is 201022222020143. The reversal of 201022222020120 is 21020222220102.

201022222020120 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 222 + 220 + 201 + 20 = 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 = 201022222020093 and 201022222020102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23816544 + ... + 31133136.

It is an arithmetic number, because the mean of its divisors is an integer number (3430586303235).

Almost surely, 2^{201022222020120} is an apocalyptic number.

201022222020120 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 201022222020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329336285110560).

201022222020120 is an abundant number, since it is smaller than the sum of its proper divisors (457650348201000).

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

201022222020120 is a wasteful number, since it uses less digits than its factorization.

201022222020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7317234 (or 7317227 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 201022222020120 its reverse (21020222220102), we get a palindrome (222042444240222).

The spelling of 201022222020120 in words is "two hundred one trillion, twenty-two billion, two hundred twenty-two million, twenty thousand, one hundred twenty".