220201122120 has 256 divisors, whose sum is σ = 761285952000. Its totient is φ = 49912135680.

The previous prime is 220201122101. The next prime is 220201122133. The reversal of 220201122120 is 21221102022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220201122120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110264962 + ... + 110266958.

It is an arithmetic number, because the mean of its divisors is an integer number (2973773250).

Almost surely, 2^220201122120 is an apocalyptic number.

220201122120 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 220201122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380642976000).

220201122120 is an abundant number, since it is smaller than the sum of its proper divisors (541084829880).

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

220201122120 is a wasteful number, since it uses less digits than its factorization.

220201122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 220201122120 its reverse (21221102022), we get a palindrome (241422224142).

The spelling of 220201122120 in words is "two hundred twenty billion, two hundred one million, one hundred twenty-two thousand, one hundred twenty".