22111022010240 has 512 divisors, whose sum is σ = 79342695936000. Its totient is φ = 5818585743360.

The previous prime is 22111022010239. The next prime is 22111022010263. The reversal of 22111022010240 is 4201022011122.

22111022010240 is a `hidden beast` number, since 2 + 211 + 10 + 2 + 201 + 0 + 240 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3954749845 + ... + 3954755435.

It is an arithmetic number, because the mean of its divisors is an integer number (154966203000).

Almost surely, 2^{22111022010240} is an apocalyptic number.

22111022010240 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 22111022010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39671347968000).

22111022010240 is an abundant number, since it is smaller than the sum of its proper divisors (57231673925760).

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

22111022010240 is a wasteful number, since it uses less digits than its factorization.

22111022010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8595 (or 8577 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22111022010240 its reverse (4201022011122), we get a palindrome (26312044021362).

The spelling of 22111022010240 in words is "twenty-two trillion, one hundred eleven billion, twenty-two million, ten thousand, two hundred forty".