22120163561340 has 288 divisors, whose sum is σ = 72734301319680. Its totient is φ = 5409245657088.

The previous prime is 22120163561303. The next prime is 22120163561383. The reversal of 22120163561340 is 4316536102122.

22120163561340 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 0 + 1 + 6 + 35 + 613 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22120163561295 and 22120163561304.

It is a congruent number.

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, 312048021 + ... + 312118899.

It is an arithmetic number, because the mean of its divisors is an integer number (252549657360).

Almost surely, 2^{22120163561340} is an apocalyptic number.

22120163561340 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 22120163561340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36367150659840).

22120163561340 is an abundant number, since it is smaller than the sum of its proper divisors (50614137758340).

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

22120163561340 is a wasteful number, since it uses less digits than its factorization.

22120163561340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71781 (or 71776 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 22120163561340 its reverse (4316536102122), we get a palindrome (26436699663462).

The spelling of 22120163561340 in words is "twenty-two trillion, one hundred twenty billion, one hundred sixty-three million, five hundred sixty-one thousand, three hundred forty".