223121332320 has 96 divisors (see below), whose sum is σ = 703242715392. Its totient is φ = 59464269312.

The previous prime is 223121332319. The next prime is 223121332333. The reversal of 223121332320 is 23233121322.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×223121332320³ (a number of 35 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 692149 + ... + 961931.

It is an arithmetic number, because the mean of its divisors is an integer number (7325444952).

Almost surely, 2^223121332320 is an apocalyptic number.

223121332320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223121332320 is an abundant number, since it is smaller than the sum of its proper divisors (480121383072).

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

223121332320 is a wasteful number, since it uses less digits than its factorization.

223121332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271524 (or 271516 counting only the distinct ones).

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

Adding to 223121332320 its reverse (23233121322), we get a palindrome (246354453642).

The spelling of 223121332320 in words is "two hundred twenty-three billion, one hundred twenty-one million, three hundred thirty-two thousand, three hundred twenty".