111541320 has 256 divisors, whose sum is σ = 417312000. Its totient is φ = 26265600.

The previous prime is 111541319. The next prime is 111541321. The reversal of 111541320 is 23145111.

It is an interprime number because it is at equal distance from previous prime (111541319) and next prime (111541321).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111541293 and 111541302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111541321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 486966 + ... + 487194.

It is an arithmetic number, because the mean of its divisors is an integer number (1630125).

Almost surely, 2^111541320 is an apocalyptic number.

111541320 is a gapful number since it is divisible by the number (10) 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 111541320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208656000).

111541320 is an abundant number, since it is smaller than the sum of its proper divisors (305770680).

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

111541320 is a wasteful number, since it uses less digits than its factorization.

111541320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 111541320 is about 10561.3124184450. The cubic root of 111541320 is about 481.3695262791.

Adding to 111541320 its reverse (23145111), we get a palindrome (134686431).

The spelling of 111541320 in words is "one hundred eleven million, five hundred forty-one thousand, three hundred twenty".