22320231210000 has 500 divisors, whose sum is σ = 81440411048172. Its totient is φ = 5899364352000.

The previous prime is 22320231209909. The next prime is 22320231210029. The reversal of 22320231210000 is 1213202322.

22320231210000 is a `hidden beast` number, since 22 + 320 + 2 + 312 + 10 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 21267850677264 + 1052380532736 = 4611708^2 + 1025856^2 .

It is a tau number, because it is divible by the number of its divisors (500).

It is a super-3 number, since 3×22320231210000³ (a number of 41 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 91408072 + ... + 91651928.

Almost surely, 2^{22320231210000} is an apocalyptic number.

22320231210000 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 22320231210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40720205524086).

22320231210000 is an abundant number, since it is smaller than the sum of its proper divisors (59120179838172).

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

22320231210000 is a wasteful number, since it uses less digits than its factorization.

22320231210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244010 (or 243980 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22320231210000 its reverse (1213202322), we get a palindrome (22321444412322).

The spelling of 22320231210000 in words is "twenty-two trillion, three hundred twenty billion, two hundred thirty-one million, two hundred ten thousand".