22211134252320 has 768 divisors, whose sum is σ = 81108548398080. Its totient is φ = 5060689920000.

The previous prime is 22211134252301. The next prime is 22211134252327. The reversal of 22211134252320 is 2325243111222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (22211134252327) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1617819216 + ... + 1617832944.

It is an arithmetic number, because the mean of its divisors is an integer number (105610089060).

Almost surely, 2^{22211134252320} is an apocalyptic number.

22211134252320 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 22211134252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40554274199040).

22211134252320 is an abundant number, since it is smaller than the sum of its proper divisors (58897414145760).

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

22211134252320 is a wasteful number, since it uses less digits than its factorization.

22211134252320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14029 (or 14021 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 22211134252320 its reverse (2325243111222), we get a palindrome (24536377363542).

The spelling of 22211134252320 in words is "twenty-two trillion, two hundred eleven billion, one hundred thirty-four million, two hundred fifty-two thousand, three hundred twenty".