22011022000 has 320 divisors, whose sum is σ = 61985139840. Its totient is φ = 7471104000.

The previous prime is 22011021947. The next prime is 22011022027. The reversal of 22011022000 is 22011022.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 63 ways as a sum of consecutive naturals, for example, 85645872 + ... + 85646128.

It is an arithmetic number, because the mean of its divisors is an integer number (193703562).

Almost surely, 2^22011022000 is an apocalyptic number.

22011022000 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 22011022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30992569920).

22011022000 is an abundant number, since it is smaller than the sum of its proper divisors (39974117840).

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

22011022000 is a wasteful number, since it uses less digits than its factorization.

22011022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22011022000 its reverse (22011022), we get a palindrome (22033033022).

22011022000 divided by its reverse (22011022) gives a cube (1000 = 10³).

It can be divided in two parts, 2201 and 1022000, that added together give a palindrome (1024201).

The spelling of 22011022000 in words is "twenty-two billion, eleven million, twenty-two thousand".