201123220220 has 288 divisors, whose sum is σ = 498891996288. Its totient is φ = 67460530176.

The previous prime is 201123220219. The next prime is 201123220229. The reversal of 201123220220 is 22022321102.

It is a super-3 number, since 3×201123220220³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201123220229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1204330577 + ... + 1204330743.

It is an arithmetic number, because the mean of its divisors is an integer number (1732263876).

Almost surely, 2^201123220220 is an apocalyptic number.

201123220220 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 201123220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249445998144).

201123220220 is an abundant number, since it is smaller than the sum of its proper divisors (297768776068).

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

201123220220 is a wasteful number, since it uses less digits than its factorization.

201123220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 201123220220 its reverse (22022321102), we get a palindrome (223145541322).

The spelling of 201123220220 in words is "two hundred one billion, one hundred twenty-three million, two hundred twenty thousand, two hundred twenty".