223132031120 has 40 divisors (see below), whose sum is σ = 518935681080. Its totient is φ = 89226368000.

The previous prime is 223132031117. The next prime is 223132031153. The reversal of 223132031120 is 21130231322.

223132031120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 18383021056 + 204749010064 = 135584^2 + 452492^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×223132031120³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 223132031092 and 223132031101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140381 + ... + 682620.

It is an arithmetic number, because the mean of its divisors is an integer number (12973392027).

Almost surely, 2^223132031120 is an apocalyptic number.

223132031120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223132031120 is an abundant number, since it is smaller than the sum of its proper divisors (295803649960).

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

223132031120 is a wasteful number, since it uses less digits than its factorization.

223132031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826403 (or 826397 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 223132031120 its reverse (21130231322), we get a palindrome (244262262442).

The spelling of 223132031120 in words is "two hundred twenty-three billion, one hundred thirty-two million, thirty-one thousand, one hundred twenty".