22131333120 has 384 divisors, whose sum is σ = 76963461120. Its totient is φ = 5396889600.

The previous prime is 22131333053. The next prime is 22131333121. The reversal of 22131333120 is 2133313122.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22131333121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60303177 + ... + 60303543.

It is an arithmetic number, because the mean of its divisors is an integer number (200425680).

Almost surely, 2^22131333120 is an apocalyptic number.

22131333120 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 22131333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38481730560).

22131333120 is an abundant number, since it is smaller than the sum of its proper divisors (54832128000).

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

22131333120 is a wasteful number, since it uses less digits than its factorization.

22131333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 22131333120 its reverse (2133313122), we get a palindrome (24264646242).

The spelling of 22131333120 in words is "twenty-two billion, one hundred thirty-one million, three hundred thirty-three thousand, one hundred twenty".