22011220110000 has 1200 divisors, whose sum is σ = 84317220852480. Its totient is φ = 4927507200000.

The previous prime is 22011220109941. The next prime is 22011220110043. The reversal of 22011220110000 is 1102211022.

It is a tau number, because it is divible by the number of its divisors (1200).

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 (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2421205455 + ... + 2421214545.

Almost surely, 2^{22011220110000} is an apocalyptic number.

22011220110000 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 22011220110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42158610426240).

22011220110000 is an abundant number, since it is smaller than the sum of its proper divisors (62306000742480).

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

22011220110000 is a wasteful number, since it uses less digits than its factorization.

22011220110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9196 (or 9164 counting only the distinct ones).

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

Adding to 22011220110000 its reverse (1102211022), we get a palindrome (22012322321022).

It can be divided in two parts, 22011 and 220110000, that multiplied together give a square (4844841210000 = 2201100²).

The spelling of 22011220110000 in words is "twenty-two trillion, eleven billion, two hundred twenty million, one hundred ten thousand".