223133122123120 has 80 divisors (see below), whose sum is σ = 565960248904320. Its totient is φ = 81137379948800.

The previous prime is 223133122123111. The next prime is 223133122123187. The reversal of 223133122123120 is 21321221331322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×223133122123120³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34111755 + ... + 40123285.

It is an arithmetic number, because the mean of its divisors is an integer number (7074503111304).

Almost surely, 2^{223133122123120} is an apocalyptic number.

223133122123120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223133122123120 is an abundant number, since it is smaller than the sum of its proper divisors (342827126781200).

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

223133122123120 is a wasteful number, since it uses less digits than its factorization.

223133122123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6053734 (or 6053728 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 223133122123120 its reverse (21321221331322), we get a palindrome (244454343454442).

The spelling of 223133122123120 in words is "two hundred twenty-three trillion, one hundred thirty-three billion, one hundred twenty-two million, one hundred twenty-three thousand, one hundred twenty".