223233421201000 has 128 divisors (see below), whose sum is σ = 597105095558400. Its totient is φ = 76522410643200.

The previous prime is 223233421200991. The next prime is 223233421201039. The reversal of 223233421201000 is 102124332322.

It is a super-3 number, since 3×223233421201000³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 31 ways as a sum of consecutive naturals, for example, 33250107 + ... + 39395893.

It is an arithmetic number, because the mean of its divisors is an integer number (4664883559050).

Almost surely, 2^{223233421201000} is an apocalyptic number.

223233421201000 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 223233421201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298552547779200).

223233421201000 is an abundant number, since it is smaller than the sum of its proper divisors (373871674357400).

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

223233421201000 is a wasteful number, since it uses less digits than its factorization.

223233421201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6151004 (or 6150990 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 223233421201000 its reverse (102124332322), we get a palindrome (223335545533322).

The spelling of 223233421201000 in words is "two hundred twenty-three trillion, two hundred thirty-three billion, four hundred twenty-one million, two hundred one thousand".