201122000000220 has 384 divisors, whose sum is σ = 629894706094080. Its totient is φ = 47614003200000.

The previous prime is 201122000000167. The next prime is 201122000000281. The reversal of 201122000000220 is 22000000221102.

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 = 201122000000196 and 201122000000205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7795111320 + ... + 7795137120.

It is an arithmetic number, because the mean of its divisors is an integer number (1640350797120).

Almost surely, 2^{201122000000220} is an apocalyptic number.

201122000000220 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 201122000000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314947353047040).

201122000000220 is an abundant number, since it is smaller than the sum of its proper divisors (428772706093860).

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

201122000000220 is a wasteful number, since it uses less digits than its factorization.

201122000000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27837 (or 27835 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201122000000220 its reverse (22000000221102), we get a palindrome (223122000221322).

The spelling of 201122000000220 in words is "two hundred one trillion, one hundred twenty-two billion, two hundred twenty", and thus it is an aban number.