111200430400 has 84 divisors (see below), whose sum is σ = 283057937820. Its totient is φ = 42946355200.

The previous prime is 111200430373. The next prime is 111200430401. The reversal of 111200430400 is 4034002111.

It can be written as a sum of positive squares in 6 ways, for example, as 13901353216 + 97299077184 = 117904^2 + 311928^2 .

It is a super-2 number, since 2×111200430400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111200430401) 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 11 ways as a sum of consecutive naturals, for example, 1151881 + ... + 1244680.

It is an arithmetic number, because the mean of its divisors is an integer number (3369737355).

Almost surely, 2^111200430400 is an apocalyptic number.

111200430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111200430400 is an abundant number, since it is smaller than the sum of its proper divisors (171857507420).

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

111200430400 is a wasteful number, since it uses less digits than its factorization.

111200430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396612 (or 2396597 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 111200430400 its reverse (4034002111), we get a palindrome (115234432511).

The spelling of 111200430400 in words is "one hundred eleven billion, two hundred million, four hundred thirty thousand, four hundred".