20220122221200 has 240 divisors, whose sum is σ = 78511262904000. Its totient is φ = 4901847782400.

The previous prime is 20220122221183. The next prime is 20220122221261. The reversal of 20220122221200 is 212222102202.

20220122221200 is a `hidden beast` number, since 2 + 0 + 220 + 1 + 22 + 221 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 84982725 + ... + 85220324.

It is an arithmetic number, because the mean of its divisors is an integer number (327130262100).

Almost surely, 2^{20220122221200} is an apocalyptic number.

20220122221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20220122221200 is an abundant number, since it is smaller than the sum of its proper divisors (58291140682800).

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

20220122221200 is a wasteful number, since it uses less digits than its factorization.

20220122221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170203087 (or 170203070 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20220122221200 its reverse (212222102202), we get a palindrome (20432344323402).

The spelling of 20220122221200 in words is "twenty trillion, two hundred twenty billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred".