1220303311200 has 216 divisors, whose sum is σ = 4304205091368. Its totient is φ = 325330237440.

The previous prime is 1220303311177. The next prime is 1220303311229. The reversal of 1220303311200 is 21133030221.

1220303311200 is a `hidden beast` number, since 12 + 20 + 303 + 311 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30918679 + ... + 30958121.

It is an arithmetic number, because the mean of its divisors is an integer number (19926875423).

Almost surely, 2^{1220303311200} is an apocalyptic number.

1220303311200 is a gapful number since it is divisible by the number (10) 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 1220303311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152102545684).

1220303311200 is an abundant number, since it is smaller than the sum of its proper divisors (3083901780168).

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

1220303311200 is a wasteful number, since it uses less digits than its factorization.

1220303311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43766 (or 43750 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1220303311200 its reverse (21133030221), we get a palindrome (1241436341421).

The spelling of 1220303311200 in words is "one trillion, two hundred twenty billion, three hundred three million, three hundred eleven thousand, two hundred".