22200121000 has 128 divisors (see below), whose sum is σ = 53352898560. Its totient is φ = 8642112000.

The previous prime is 22200120991. The next prime is 22200121001. The reversal of 22200121000 is 12100222.

It is a super-4 number, since 4×22200121000⁴ (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (22200121001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8975764 + ... + 8978236.

It is an arithmetic number, because the mean of its divisors is an integer number (416819520).

Almost surely, 2^22200121000 is an apocalyptic number.

22200121000 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 22200121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26676449280).

22200121000 is an abundant number, since it is smaller than the sum of its proper divisors (31152777560).

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

22200121000 is a wasteful number, since it uses less digits than its factorization.

22200121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22200121000 its reverse (12100222), we get a palindrome (22212221222).

The spelling of 22200121000 in words is "twenty-two billion, two hundred million, one hundred twenty-one thousand".