22210011210000 has 400 divisors, whose sum is σ = 73276818912000. Its totient is φ = 5792343552000.

The previous prime is 22210011209987. The next prime is 22210011210011. The reversal of 22210011210000 is 1211001222.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 2184084916 + ... + 2184095084.

It is an arithmetic number, because the mean of its divisors is an integer number (183192047280).

Almost surely, 2^{22210011210000} is an apocalyptic number.

22210011210000 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 22210011210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36638409456000).

22210011210000 is an abundant number, since it is smaller than the sum of its proper divisors (51066807702000).

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

22210011210000 is a wasteful number, since it uses less digits than its factorization.

22210011210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11796 (or 11775 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22210011210000 its reverse (1211001222), we get a palindrome (22211222211222).

The spelling of 22210011210000 in words is "twenty-two trillion, two hundred ten billion, eleven million, two hundred ten thousand".