20212211122200 has 144 divisors (see below), whose sum is σ = 68551415665200. Its totient is φ = 5336557344000.

The previous prime is 20212211122111. The next prime is 20212211122219. The reversal of 20212211122200 is 222111221202.

It is a happy number.

20212211122200 is a `hidden beast` number, since 20 + 212 + 211 + 1 + 2 + 220 + 0 = 666.

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 55407340 + ... + 55770939.

It is an arithmetic number, because the mean of its divisors is an integer number (476051497675).

Almost surely, 2^{20212211122200} is an apocalyptic number.

20212211122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212211122200 is an abundant number, since it is smaller than the sum of its proper divisors (48339204543000).

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

20212211122200 is a wasteful number, since it uses less digits than its factorization.

20212211122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111178402 (or 111178390 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20212211122200 its reverse (222111221202), we get a palindrome (20434322343402).

The spelling of 20212211122200 in words is "twenty trillion, two hundred twelve billion, two hundred eleven million, one hundred twenty-two thousand, two hundred".