22122002021200 has 240 divisors, whose sum is σ = 54317823436800. Its totient is φ = 8655657932800.

The previous prime is 22122002021177. The next prime is 22122002021347. The reversal of 22122002021200 is 212020022122.

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

It is a congruent number.

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, 4166884146 + ... + 4166889454.

It is an arithmetic number, because the mean of its divisors is an integer number (226324264320).

Almost surely, 2^{22122002021200} is an apocalyptic number.

22122002021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22122002021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27158911718400).

22122002021200 is an abundant number, since it is smaller than the sum of its proper divisors (32195821415600).

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

22122002021200 is a wasteful number, since it uses less digits than its factorization.

22122002021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6230 (or 6219 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22122002021200 its reverse (212020022122), we get a palindrome (22334022043322).

The spelling of 22122002021200 in words is "twenty-two trillion, one hundred twenty-two billion, two million, twenty-one thousand, two hundred".