223234133101200 has 480 divisors, whose sum is σ = 855713883722880. Its totient is φ = 54946945382400.

The previous prime is 223234133101141. The next prime is 223234133101237. The reversal of 223234133101200 is 2101331432322.

223234133101200 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 341 + 3 + 310 + 1 + 2 + 0 + 0 = 666.

It is a super-3 number, since 3×223234133101200³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 3702458254 + ... + 3702518546.

It is an arithmetic number, because the mean of its divisors is an integer number (1782737257756).

Almost surely, 2^{223234133101200} is an apocalyptic number.

223234133101200 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 223234133101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427856941861440).

223234133101200 is an abundant number, since it is smaller than the sum of its proper divisors (632479750621680).

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

223234133101200 is a wasteful number, since it uses less digits than its factorization.

223234133101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86704 (or 86687 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 223234133101200 its reverse (2101331432322), we get a palindrome (225335464533522).

The spelling of 223234133101200 in words is "two hundred twenty-three trillion, two hundred thirty-four billion, one hundred thirty-three million, one hundred one thousand, two hundred".