22120022210112 has 672 divisors, whose sum is σ = 69997635821568. Its totient is φ = 6914419200000.

The previous prime is 22120022210087. The next prime is 22120022210113. The reversal of 22120022210112 is 21101222002122.

It is a happy number.

22120022210112 is a `hidden beast` number, since 221 + 200 + 22 + 210 + 1 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22120022210113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2984751687 + ... + 2984759097.

It is an arithmetic number, because the mean of its divisors is an integer number (104163148544).

Almost surely, 2^{22120022210112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22120022210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34998817910784).

22120022210112 is an abundant number, since it is smaller than the sum of its proper divisors (47877613611456).

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

22120022210112 is a wasteful number, since it uses less digits than its factorization.

22120022210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7661 (or 7639 counting only the distinct ones).

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

Adding to 22120022210112 its reverse (21101222002122), we get a palindrome (43221244212234).

The spelling of 22120022210112 in words is "twenty-two trillion, one hundred twenty billion, twenty-two million, two hundred ten thousand, one hundred twelve".