22021000201200 has 2880 divisors, whose sum is σ = 101239740686336. Its totient is φ = 3974344704000.

The previous prime is 22021000201183. The next prime is 22021000201201. The reversal of 22021000201200 is 210200012022.

It is a super-2 number, since 2×22021000201200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22021000201201) by changing a digit.

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 575 ways as a sum of consecutive naturals, for example, 15155539674 + ... + 15155541126.

Almost surely, 2^{22021000201200} is an apocalyptic number.

22021000201200 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 22021000201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50619870343168).

22021000201200 is an abundant number, since it is smaller than the sum of its proper divisors (79218740485136).

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

22021000201200 is a wasteful number, since it uses less digits than its factorization.

22021000201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22021000201200 its reverse (210200012022), we get a palindrome (22231200213222).

The spelling of 22021000201200 in words is "twenty-two trillion, twenty-one billion, two hundred one thousand, two hundred".