20212122101200 has 60 divisors (see below), whose sum is σ = 48574959396480. Its totient is φ = 8082295492480.

The previous prime is 20212122101141. The next prime is 20212122101207. The reversal of 20212122101200 is 210122121202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20212122101207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6710830 + ... + 9244429.

It is an arithmetic number, because the mean of its divisors is an integer number (809582656608).

Almost surely, 2^{20212122101200} is an apocalyptic number.

20212122101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212122101200 is an abundant number, since it is smaller than the sum of its proper divisors (28362837295280).

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

20212122101200 is a wasteful number, since it uses less digits than its factorization.

20212122101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15958444 (or 15958433 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20212122101200 its reverse (210122121202), we get a palindrome (20422244222402).

The spelling of 20212122101200 in words is "twenty trillion, two hundred twelve billion, one hundred twenty-two million, one hundred one thousand, two hundred".