223133334000120 has 384 divisors, whose sum is σ = 763719822028800. Its totient is φ = 58582530699264.

The previous prime is 223133334000091. The next prime is 223133334000127. The reversal of 223133334000120 is 21000433331322.

223133334000120 is a `hidden beast` number, since 2 + 2 + 3 + 133 + 3 + 3 + 400 + 0 + 120 = 666.

It is a super-3 number, since 3×223133334000120³ (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223133334000127) by changing a digit.

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, 270650049 + ... + 271473231.

It is an arithmetic number, because the mean of its divisors is an integer number (1988853703200).

Almost surely, 2^{223133334000120} is an apocalyptic number.

223133334000120 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 223133334000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381859911014400).

223133334000120 is an abundant number, since it is smaller than the sum of its proper divisors (540586488028680).

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

223133334000120 is a wasteful number, since it uses less digits than its factorization.

223133334000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823641 (or 823625 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 223133334000120 its reverse (21000433331322), we get a palindrome (244133767331442).

The spelling of 223133334000120 in words is "two hundred twenty-three trillion, one hundred thirty-three billion, three hundred thirty-four million, one hundred twenty", and thus it is an aban number.