20022210211200 has 192 divisors, whose sum is σ = 66588431520000. Its totient is φ = 5287418357760.

The previous prime is 20022210211163. The next prime is 20022210211229. The reversal of 20022210211200 is 211201222002.

It is a tau number, because it is divible by the number of its divisors (192).

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 20022210211200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9135700 + ... + 11113299.

It is an arithmetic number, because the mean of its divisors is an integer number (346814747500).

Almost surely, 2^{20022210211200} is an apocalyptic number.

20022210211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20022210211200 is an abundant number, since it is smaller than the sum of its proper divisors (46566221308800).

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

20022210211200 is a wasteful number, since it uses less digits than its factorization.

20022210211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20249129 (or 20249112 counting only the distinct ones).

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

Adding to 20022210211200 its reverse (211201222002), we get a palindrome (20233411433202).

The spelling of 20022210211200 in words is "twenty trillion, twenty-two billion, two hundred ten million, two hundred eleven thousand, two hundred".