22010011011200 has 192 divisors, whose sum is σ = 56469897957120. Its totient is φ = 8467728076800.

The previous prime is 22010011011199. The next prime is 22010011011203. The reversal of 22010011011200 is 211011001022.

It is not an unprimeable number, because it can be changed into a prime (22010011011203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15489002 + ... + 16850198.

It is an arithmetic number, because the mean of its divisors is an integer number (294114051860).

Almost surely, 2^{22010011011200} is an apocalyptic number.

22010011011200 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 22010011011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28234948978560).

22010011011200 is an abundant number, since it is smaller than the sum of its proper divisors (34459886945920).

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

22010011011200 is a wasteful number, since it uses less digits than its factorization.

22010011011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361415 (or 1361398 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 22010011011200 its reverse (211011001022), we get a palindrome (22221022012222).

The spelling of 22010011011200 in words is "twenty-two trillion, ten billion, eleven million, eleven thousand, two hundred".