201220303120 has 160 divisors (see below), whose sum is σ = 488718720000. Its totient is φ = 76963461120.

The previous prime is 201220303093. The next prime is 201220303133. The reversal of 201220303120 is 21303022102.

It is a super-2 number, since 2×201220303120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 201220303094 and 201220303103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78939606 + ... + 78942154.

It is an arithmetic number, because the mean of its divisors is an integer number (3054492000).

Almost surely, 2^201220303120 is an apocalyptic number.

201220303120 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 201220303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244359360000).

201220303120 is an abundant number, since it is smaller than the sum of its proper divisors (287498416880).

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

201220303120 is a wasteful number, since it uses less digits than its factorization.

201220303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 201220303120 its reverse (21303022102), we get a palindrome (222523325222).

The spelling of 201220303120 in words is "two hundred one billion, two hundred twenty million, three hundred three thousand, one hundred twenty".