22311123120 has 720 divisors, whose sum is σ = 90056378880. Its totient is φ = 4906137600.

The previous prime is 22311123091. The next prime is 22311123139. The reversal of 22311123120 is 2132111322.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×22311123120³ (a number of 32 digits) contains 333 as substring.

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 = 22311123093 and 22311123102.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 105739815 + ... + 105740025.

It is an arithmetic number, because the mean of its divisors is an integer number (125078304).

Almost surely, 2^22311123120 is an apocalyptic number.

22311123120 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 22311123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45028189440).

22311123120 is an abundant number, since it is smaller than the sum of its proper divisors (67745255760).

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

22311123120 is a wasteful number, since it uses less digits than its factorization.

22311123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22311123120 its reverse (2132111322), we get a palindrome (24443234442).

The spelling of 22311123120 in words is "twenty-two billion, three hundred eleven million, one hundred twenty-three thousand, one hundred twenty".