111012720 has 480 divisors, whose sum is σ = 470541312. Its totient is φ = 21086208.

The previous prime is 111012673. The next prime is 111012721. The reversal of 111012720 is 27210111.

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 111012720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111012721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4826629 + ... + 4826651.

Almost surely, 2^111012720 is an apocalyptic number.

111012720 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 111012720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235270656).

111012720 is an abundant number, since it is smaller than the sum of its proper divisors (359528592).

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

111012720 is a wasteful number, since it uses less digits than its factorization.

111012720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 111012720 is about 10536.2574000449. The cubic root of 111012720 is about 480.6079103244.

Adding to 111012720 its reverse (27210111), we get a palindrome (138222831).

The spelling of 111012720 in words is "one hundred eleven million, twelve thousand, seven hundred twenty".