111261120 has 112 divisors (see below), whose sum is σ = 368686080. Its totient is φ = 28374016.

The previous prime is 111261119. The next prime is 111261121. The reversal of 111261120 is 21162111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (111261119) and next prime (111261121).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 111261120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111261121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19561 + ... + 24599.

It is an arithmetic number, because the mean of its divisors is an integer number (3291840).

Almost surely, 2^111261120 is an apocalyptic number.

111261120 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 111261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184343040).

111261120 is an abundant number, since it is smaller than the sum of its proper divisors (257424960).

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

111261120 is a wasteful number, since it uses less digits than its factorization.

111261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5082 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 111261120 is about 10548.0386802476. The cubic root of 111261120 is about 480.9661097343.

Subtracting from 111261120 its reverse (21162111), we obtain a palindrome (90099009).

It can be divided in two parts, 11126 and 1120, that added together give a triangular number (12246 = T₁₅₆).

The spelling of 111261120 in words is "one hundred eleven million, two hundred sixty-one thousand, one hundred twenty".