22120222201000 has 256 divisors, whose sum is σ = 65172563089920. Its totient is φ = 6826348800000.

The previous prime is 22120222200971. The next prime is 22120222201003. The reversal of 22120222201000 is 10222202122.

It is a super-2 number, since 2×22120222201000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22120222201003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6354844 + ... + 9199156.

It is an arithmetic number, because the mean of its divisors is an integer number (254580324570).

Almost surely, 2^{22120222201000} is an apocalyptic number.

22120222201000 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 22120222201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32586281544960).

22120222201000 is an abundant number, since it is smaller than the sum of its proper divisors (43052340888920).

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

22120222201000 is a wasteful number, since it uses less digits than its factorization.

22120222201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844453 (or 2844439 counting only the distinct ones).

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

Adding to 22120222201000 its reverse (10222202122), we get a palindrome (22130444403122).

The spelling of 22120222201000 in words is "twenty-two trillion, one hundred twenty billion, two hundred twenty-two million, two hundred one thousand".