111201000 has 128 divisors (see below), whose sum is σ = 351336960. Its totient is φ = 29280000.

The previous prime is 111200989. The next prime is 111201007. The reversal of 111201000 is 102111.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 111201000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111201007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302817 + ... + 303183.

It is an arithmetic number, because the mean of its divisors is an integer number (2744820).

Almost surely, 2^111201000 is an apocalyptic number.

111201000 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 111201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175668480).

111201000 is an abundant number, since it is smaller than the sum of its proper divisors (240135960).

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

111201000 is a wasteful number, since it uses less digits than its factorization.

111201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 111201000 is about 10545.1884762673. The cubic root of 111201000 is about 480.8794640360.

Adding to 111201000 its reverse (102111), we get a palindrome (111303111).

The spelling of 111201000 in words is "one hundred eleven million, two hundred one thousand".