223124121984 has 128 divisors (see below), whose sum is σ = 627753369600. Its totient is φ = 69975547904.

The previous prime is 223124121953. The next prime is 223124121991. The reversal of 223124121984 is 489121421322.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×223124121984³ (a number of 35 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, 33204577 + ... + 33211295.

It is an arithmetic number, because the mean of its divisors is an integer number (4904323200).

Almost surely, 2^223124121984 is an apocalyptic number.

223124121984 is a gapful number since it is divisible by the number (24) 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 223124121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313876684800).

223124121984 is an abundant number, since it is smaller than the sum of its proper divisors (404629247616).

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

223124121984 is a wasteful number, since it uses less digits than its factorization.

223124121984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11840 (or 11828 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The spelling of 223124121984 in words is "two hundred twenty-three billion, one hundred twenty-four million, one hundred twenty-one thousand, nine hundred eighty-four".