220212200032200 has 576 divisors, whose sum is σ = 775222802565120. Its totient is φ = 58089830400000.

The previous prime is 220212200032171. The next prime is 220212200032333. The reversal of 220212200032200 is 2230002212022.

220212200032200 is a `hidden beast` number, since 2 + 20 + 212 + 200 + 0 + 32 + 200 = 666.

It is a super-4 number, since 4×220212200032200⁴ (a number of 58 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5649779112 + ... + 5649818088.

It is an arithmetic number, because the mean of its divisors is an integer number (1345872921120).

Almost surely, 2^{220212200032200} is an apocalyptic number.

220212200032200 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 220212200032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387611401282560).

220212200032200 is an abundant number, since it is smaller than the sum of its proper divisors (555010602532920).

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

220212200032200 is a wasteful number, since it uses less digits than its factorization.

220212200032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40260 (or 40239 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 220212200032200 its reverse (2230002212022), we get a palindrome (222442202244222).

The spelling of 220212200032200 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred million, thirty-two thousand, two hundred".