22311121000 has 256 divisors, whose sum is σ = 63011520000. Its totient is φ = 7382457600.

The previous prime is 22311120989. The next prime is 22311121057. The reversal of 22311121000 is 12111322.

It is a super-3 number, since 3×22311121000³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9945879 + ... + 9948121.

It is an arithmetic number, because the mean of its divisors is an integer number (246138750).

Almost surely, 2^22311121000 is an apocalyptic number.

22311121000 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 22311121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31505760000).

22311121000 is an abundant number, since it is smaller than the sum of its proper divisors (40700399000).

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

22311121000 is a wasteful number, since it uses less digits than its factorization.

22311121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 22311121000 its reverse (12111322), we get a palindrome (22323232322).

The spelling of 22311121000 in words is "twenty-two billion, three hundred eleven million, one hundred twenty-one thousand".