22211022021120 has 960 divisors, whose sum is σ = 80702037846144. Its totient is φ = 5640722841600.

The previous prime is 22211022021107. The next prime is 22211022021127. The reversal of 22211022021120 is 2112022011222.

It is a happy number.

22211022021120 is a `hidden beast` number, since 2 + 2 + 211 + 0 + 220 + 211 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 22211022021093 and 22211022021102.

It is not an unprimeable number, because it can be changed into a prime (22211022021127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6704200584 + ... + 6704203896.

Almost surely, 2^{22211022021120} is an apocalyptic number.

22211022021120 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 22211022021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40351018923072).

22211022021120 is an abundant number, since it is smaller than the sum of its proper divisors (58491015825024).

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

22211022021120 is a wasteful number, since it uses less digits than its factorization.

22211022021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3553 (or 3534 counting only the distinct ones).

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

Adding to 22211022021120 its reverse (2112022011222), we get a palindrome (24323044032342).

The spelling of 22211022021120 in words is "twenty-two trillion, two hundred eleven billion, twenty-two million, twenty-one thousand, one hundred twenty".