22012310221200 has 720 divisors, whose sum is σ = 83566574896896. Its totient is φ = 5332823654400.

The previous prime is 22012310221193. The next prime is 22012310221261. The reversal of 22012310221200 is 212201321022.

22012310221200 is a `hidden beast` number, since 220 + 1 + 23 + 1 + 0 + 221 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×22012310221200³ (a number of 41 digits) contains 333 as substring.

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 4662634840 + ... + 4662639560.

Almost surely, 2^{22012310221200} is an apocalyptic number.

22012310221200 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 22012310221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41783287448448).

22012310221200 is an abundant number, since it is smaller than the sum of its proper divisors (61554264675696).

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

22012310221200 is a wasteful number, since it uses less digits than its factorization.

22012310221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312 (or 6298 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22012310221200 its reverse (212201321022), we get a palindrome (22224511542222).

The spelling of 22012310221200 in words is "twenty-two trillion, twelve billion, three hundred ten million, two hundred twenty-one thousand, two hundred".