220313101200 has 120 divisors (see below), whose sum is σ = 708420723648. Its totient is φ = 58526691840.

The previous prime is 220313101153. The next prime is 220313101231. The reversal of 220313101200 is 2101313022.

220313101200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×220313101200² (a number of 23 digits) contains 22 as substring.

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 220313101200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33439 + ... + 664638.

Almost surely, 2^220313101200 is an apocalyptic number.

220313101200 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 220313101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354210361824).

220313101200 is an abundant number, since it is smaller than the sum of its proper divisors (488107622448).

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

220313101200 is a wasteful number, since it uses less digits than its factorization.

220313101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698361 (or 698350 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 220313101200 its reverse (2101313022), we get a palindrome (222414414222).

The spelling of 220313101200 in words is "two hundred twenty billion, three hundred thirteen million, one hundred one thousand, two hundred".