22332300123000 has 768 divisors, whose sum is σ = 87624812620800. Its totient is φ = 4705145625600.

The previous prime is 22332300122983. The next prime is 22332300123101. The reversal of 22332300123000 is 32100323322.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 191 ways as a sum of consecutive naturals, for example, 103232949 + ... + 103449051.

It is an arithmetic number, because the mean of its divisors is an integer number (114094808100).

Almost surely, 2^{22332300123000} is an apocalyptic number.

22332300123000 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 22332300123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43812406310400).

22332300123000 is an abundant number, since it is smaller than the sum of its proper divisors (65292512497800).

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

22332300123000 is a wasteful number, since it uses less digits than its factorization.

22332300123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216197 (or 216176 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 22332300123000 its reverse (32100323322), we get a palindrome (22364400446322).

The spelling of 22332300123000 in words is "twenty-two trillion, three hundred thirty-two billion, three hundred million, one hundred twenty-three thousand".