22201200120000 has 1120 divisors, whose sum is σ = 82063991116800. Its totient is φ = 5249269760000.

The previous prime is 22201200119977. The next prime is 22201200120031. The reversal of 22201200120000 is 2100210222.

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

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 27855959602 + ... + 27855960398.

It is an arithmetic number, because the mean of its divisors is an integer number (73271420640).

Almost surely, 2^{22201200120000} is an apocalyptic number.

22201200120000 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 22201200120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41031995558400).

22201200120000 is an abundant number, since it is smaller than the sum of its proper divisors (59862790996800).

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

22201200120000 is a wasteful number, since it uses less digits than its factorization.

22201200120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1314 counting only the distinct ones).

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

Adding to 22201200120000 its reverse (2100210222), we get a palindrome (22203300330222).

The spelling of 22201200120000 in words is "twenty-two trillion, two hundred one billion, two hundred million, one hundred twenty thousand".