111129556321 has 9 divisors (see below), whose sum is σ = 129275871921. Its totient is φ = 95251905252.

The previous prime is 111129556319. The next prime is 111129556357. The reversal of 111129556321 is 123655921111.

The square root of 111129556321 is 333361.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 111129556321 - 2¹ = 111129556319 is a prime.

It is a super-2 number, since 2×111129556321² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111129551321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2309716 + ... + 2357338.

It is an arithmetic number, because the mean of its divisors is an integer number (14363985769).

Almost surely, 2^111129556321 is an apocalyptic number.

111129556321 is the 333361-st square number.

111129556321 is the 166681-st centered octagonal number.

It is an amenable number.

111129556321 is a deficient number, since it is larger than the sum of its proper divisors (18146315600).

111129556321 is an frugal number, since it uses more digits than its factorization.

111129556321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95260 (or 47630 counting only the distinct ones).

The product of its digits is 16200, while the sum is 37.

The spelling of 111129556321 in words is "one hundred eleven billion, one hundred twenty-nine million, five hundred fifty-six thousand, three hundred twenty-one".