22023211002000 has 480 divisors, whose sum is σ = 77005850238720. Its totient is φ = 5412558028800.

The previous prime is 22023211001999. The next prime is 22023211002047. The reversal of 22023211002000 is 20011232022.

It is a happy number.

It is a super-2 number, since 2×22023211002000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 95 ways as a sum of consecutive naturals, for example, 656041216 + ... + 656074784.

It is an arithmetic number, because the mean of its divisors is an integer number (160428854664).

Almost surely, 2^{22023211002000} is an apocalyptic number.

22023211002000 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 22023211002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38502925119360).

22023211002000 is an abundant number, since it is smaller than the sum of its proper divisors (54982639236720).

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

22023211002000 is a wasteful number, since it uses less digits than its factorization.

22023211002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34268 (or 34239 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22023211002000 its reverse (20011232022), we get a palindrome (22043222234022).

The spelling of 22023211002000 in words is "twenty-two trillion, twenty-three billion, two hundred eleven million, two thousand".