22131311323240 has 384 divisors, whose sum is σ = 59765329008000. Its totient is φ = 7349949573120.

The previous prime is 22131311323237. The next prime is 22131311323259. The reversal of 22131311323240 is 4232311313122.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 22131311323199 and 22131311323208.

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, 11892159910 + ... + 11892161770.

It is an arithmetic number, because the mean of its divisors is an integer number (155638877625).

Almost surely, 2^{22131311323240} is an apocalyptic number.

22131311323240 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 22131311323240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29882664504000).

22131311323240 is an abundant number, since it is smaller than the sum of its proper divisors (37634017684760).

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

22131311323240 is a wasteful number, since it uses less digits than its factorization.

22131311323240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3025 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 22131311323240 its reverse (4232311313122), we get a palindrome (26363622636362).

The spelling of 22131311323240 in words is "twenty-two trillion, one hundred thirty-one billion, three hundred eleven million, three hundred twenty-three thousand, two hundred forty".