220212302131200 has 624 divisors, whose sum is σ = 767162701162880. Its totient is φ = 55577204490240.

The previous prime is 220212302131169. The next prime is 220212302131253. The reversal of 220212302131200 is 2131203212022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6029396139 + ... + 6029432661.

Almost surely, 2^{220212302131200} is an apocalyptic number.

220212302131200 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 220212302131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383581350581440).

220212302131200 is an abundant number, since it is smaller than the sum of its proper divisors (546950399031680).

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

220212302131200 is a wasteful number, since it uses less digits than its factorization.

220212302131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37612 (or 37585 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 220212302131200 its reverse (2131203212022), we get a palindrome (222343505343222).

The spelling of 220212302131200 in words is "two hundred twenty trillion, two hundred twelve billion, three hundred two million, one hundred thirty-one thousand, two hundred".