223232013312 has 264 divisors, whose sum is σ = 747440073408. Its totient is φ = 57981665280.

The previous prime is 223232013293. The next prime is 223232013313. The reversal of 223232013312 is 213310232322.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-3 number, since 3×223232013312³ (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 not an unprimeable number, because it can be changed into a prime (223232013313) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2559088 + ... + 2644880.

Almost surely, 2^223232013312 is an apocalyptic number.

223232013312 is a gapful number since it is divisible by the number (22) 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 223232013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373720036704).

223232013312 is an abundant number, since it is smaller than the sum of its proper divisors (524208060096).

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

223232013312 is a wasteful number, since it uses less digits than its factorization.

223232013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85845 (or 85816 counting only the distinct ones).

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

Adding to 223232013312 its reverse (213310232322), we get a palindrome (436542245634).

The spelling of 223232013312 in words is "two hundred twenty-three billion, two hundred thirty-two million, thirteen thousand, three hundred twelve".