22011211012000 has 144 divisors (see below), whose sum is σ = 62911186091208. Its totient is φ = 7546700851200.

The previous prime is 22011211011947. The next prime is 22011211012013. The reversal of 22011211012000 is 21011211022.

It can be written as a sum of positive squares in 4 ways, for example, as 13129404396304 + 8881806615696 = 3623452^2 + 2980236^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55955049 + ... + 56347048.

Almost surely, 2^{22011211012000} is an apocalyptic number.

22011211012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22011211012000 is an abundant number, since it is smaller than the sum of its proper divisors (40899975079208).

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

22011211012000 is a wasteful number, since it uses less digits than its factorization.

22011211012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112302136 (or 112302111 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 22011211012000 its reverse (21011211022), we get a palindrome (22032222223022).

The spelling of 22011211012000 in words is "twenty-two trillion, eleven billion, two hundred eleven million, twelve thousand".