223302123132000 has 1152 divisors, whose sum is σ = 819798893222400. Its totient is φ = 53080783360000.

The previous prime is 223302123131947. The next prime is 223302123132017. The reversal of 223302123132000 is 231321203322.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35894888890 + ... + 35894895110.

It is an arithmetic number, because the mean of its divisors is an integer number (711630983700).

Almost surely, 2^{223302123132000} is an apocalyptic number.

223302123132000 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 223302123132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409899446611200).

223302123132000 is an abundant number, since it is smaller than the sum of its proper divisors (596496770090400).

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

223302123132000 is a wasteful number, since it uses less digits than its factorization.

223302123132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6749 (or 6720 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 223302123132000 its reverse (231321203322), we get a palindrome (223533444335322).

The spelling of 223302123132000 in words is "two hundred twenty-three trillion, three hundred two billion, one hundred twenty-three million, one hundred thirty-two thousand".