22311190122120 has 384 divisors, whose sum is σ = 80398096646400. Its totient is φ = 5337271222272.

The previous prime is 22311190122119. The next prime is 22311190122157. The reversal of 22311190122120 is 2122109111322.

22311190122120 is a `hidden beast` number, since 2 + 231 + 1 + 190 + 1 + 221 + 20 = 666.

It is a super-3 number, since 3×22311190122120³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39555036 + ... + 40115124.

It is an arithmetic number, because the mean of its divisors is an integer number (209370043350).

Almost surely, 2^{22311190122120} is an apocalyptic number.

22311190122120 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 22311190122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40199048323200).

22311190122120 is an abundant number, since it is smaller than the sum of its proper divisors (58086906524280).

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

22311190122120 is a wasteful number, since it uses less digits than its factorization.

22311190122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560429 (or 560422 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 22311190122120 its reverse (2122109111322), we get a palindrome (24433299233442).

The spelling of 22311190122120 in words is "twenty-two trillion, three hundred eleven billion, one hundred ninety million, one hundred twenty-two thousand, one hundred twenty".