1120001100 has 288 divisors, whose sum is σ = 3590770176. Its totient is φ = 268646400.

The previous prime is 1120001093. The next prime is 1120001107. The reversal of 1120001100 is 11000211.

It is an interprime number because it is at equal distance from previous prime (1120001093) and next prime (1120001107).

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 not an unprimeable number, because it can be changed into a prime (1120001107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10467247 + ... + 10467353.

It is an arithmetic number, because the mean of its divisors is an integer number (12467952).

Almost surely, 2^1120001100 is an apocalyptic number.

1120001100 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 1120001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795385088).

1120001100 is an abundant number, since it is smaller than the sum of its proper divisors (2470769076).

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

1120001100 is a wasteful number, since it uses less digits than its factorization.

1120001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 218 counting only the distinct ones).

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

The square root of 1120001100 is about 33466.4174957524. The cubic root of 1120001100 is about 1038.4991603548.

Adding to 1120001100 its reverse (11000211), we get a palindrome (1131001311).

The spelling of 1120001100 in words is "one billion, one hundred twenty million, one thousand, one hundred".