22122011001200 has 180 divisors, whose sum is σ = 58629955020840. Its totient is φ = 8015321740800.

The previous prime is 22122011001197. The next prime is 22122011001263. The reversal of 22122011001200 is 210011022122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12581771 + ... + 14231829.

It is an arithmetic number, because the mean of its divisors is an integer number (325721972338).

Almost surely, 2^{22122011001200} is an apocalyptic number.

22122011001200 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 22122011001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29314977510420).

22122011001200 is an abundant number, since it is smaller than the sum of its proper divisors (36507944019640).

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

22122011001200 is a wasteful number, since it uses less digits than its factorization.

22122011001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650376 (or 1650354 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22122011001200 its reverse (210011022122), we get a palindrome (22332022023322).

The spelling of 22122011001200 in words is "twenty-two trillion, one hundred twenty-two billion, eleven million, one thousand, two hundred".