220122316800 has 504 divisors, whose sum is σ = 811345778880. Its totient is φ = 58510540800.

The previous prime is 220122316789. The next prime is 220122316829. The reversal of 220122316800 is 8613221022.

220122316800 is a `hidden beast` number, since 220 + 122 + 316 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 707788645 + ... + 707788955.

Almost surely, 2^220122316800 is an apocalyptic number.

220122316800 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 220122316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405672889440).

220122316800 is an abundant number, since it is smaller than the sum of its proper divisors (591223462080).

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

220122316800 is an frugal number, since it uses more digits than its factorization.

220122316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 220122316800 its reverse (8613221022), we get a palindrome (228735537822).

The spelling of 220122316800 in words is "two hundred twenty billion, one hundred twenty-two million, three hundred sixteen thousand, eight hundred".