220210022011200 has 168 divisors, whose sum is σ = 778047179272608. Its totient is φ = 54205543864320.

The previous prime is 220210022011171. The next prime is 220210022011211. The reversal of 220210022011200 is 2110220012022.

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 220210022011200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1764440982 + ... + 1764565781.

It is an arithmetic number, because the mean of its divisors is an integer number (4631233209956).

Almost surely, 2^{220210022011200} is an apocalyptic number.

220210022011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220210022011200 is an abundant number, since it is smaller than the sum of its proper divisors (557837157261408).

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

220210022011200 is a wasteful number, since it uses less digits than its factorization.

220210022011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529006801 (or 3529006786 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 220210022011200 its reverse (2110220012022), we get a palindrome (222320242023222).

The spelling of 220210022011200 in words is "two hundred twenty trillion, two hundred ten billion, twenty-two million, eleven thousand, two hundred".