22211311233000 has 256 divisors, whose sum is σ = 71182696515840. Its totient is φ = 5762088576000.

The previous prime is 22211311232987. The next prime is 22211311233011. The reversal of 22211311233000 is 33211311222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1190243670 + ... + 1190262330.

It is an arithmetic number, because the mean of its divisors is an integer number (278057408265).

Almost surely, 2^{22211311233000} is an apocalyptic number.

22211311233000 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 22211311233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35591348257920).

22211311233000 is an abundant number, since it is smaller than the sum of its proper divisors (48971385282840).

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

22211311233000 is a wasteful number, since it uses less digits than its factorization.

22211311233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29445 (or 29431 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 22211311233000 its reverse (33211311222), we get a palindrome (22244522544222).

The spelling of 22211311233000 in words is "twenty-two trillion, two hundred eleven billion, three hundred eleven million, two hundred thirty-three thousand".