22121023320 has 256 divisors, whose sum is σ = 80560396800. Its totient is φ = 5354657280.

The previous prime is 22121023297. The next prime is 22121023321. The reversal of 22121023320 is 2332012122.

22121023320 is a `hidden beast` number, since 221 + 210 + 233 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22121023293 and 22121023302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121023321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13269127 + ... + 13270793.

It is an arithmetic number, because the mean of its divisors is an integer number (314689050).

Almost surely, 2^22121023320 is an apocalyptic number.

22121023320 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 22121023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40280198400).

22121023320 is an abundant number, since it is smaller than the sum of its proper divisors (58439373480).

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

22121023320 is a wasteful number, since it uses less digits than its factorization.

22121023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22121023320 its reverse (2332012122), we get a palindrome (24453035442).

The spelling of 22121023320 in words is "twenty-two billion, one hundred twenty-one million, twenty-three thousand, three hundred twenty".