22330113012000 has 144 divisors (see below), whose sum is σ = 79249571207352. Its totient is φ = 5954696793600.

The previous prime is 22330113011989. The next prime is 22330113012001. The reversal of 22330113012000 is 21031103322.

22330113012000 is a `hidden beast` number, since 2 + 2 + 330 + 1 + 130 + 1 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3461966324496 + 18868146687504 = 1860636^2 + 4343748^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (22330113012001) 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 23 ways as a sum of consecutive naturals, for example, 310104459 + ... + 310176458.

Almost surely, 2^{22330113012000} is an apocalyptic number.

22330113012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22330113012000 is an abundant number, since it is smaller than the sum of its proper divisors (56919458195352).

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

22330113012000 is a wasteful number, since it uses less digits than its factorization.

22330113012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620280948 (or 620280927 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22330113012000 its reverse (21031103322), we get a palindrome (22351144115322).

The spelling of 22330113012000 in words is "twenty-two trillion, three hundred thirty billion, one hundred thirteen million, twelve thousand".