23222122011000 has 512 divisors, whose sum is σ = 89058851481600. Its totient is φ = 5550310080000.

The previous prime is 23222122010963. The next prime is 23222122011013. The reversal of 23222122011000 is 11022122232.

23222122011000 is a `hidden beast` number, since 2 + 322 + 21 + 220 + 1 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 20536374 + ... + 21637626.

It is an arithmetic number, because the mean of its divisors is an integer number (173943069300).

Almost surely, 2^{23222122011000} is an apocalyptic number.

23222122011000 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 23222122011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44529425740800).

23222122011000 is an abundant number, since it is smaller than the sum of its proper divisors (65836729470600).

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

23222122011000 is a wasteful number, since it uses less digits than its factorization.

23222122011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101365 (or 1101345 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 23222122011000 its reverse (11022122232), we get a palindrome (23233144133232).

The spelling of 23222122011000 in words is "twenty-three trillion, two hundred twenty-two billion, one hundred twenty-two million, eleven thousand".