1011200112 has 200 divisors, whose sum is σ = 3221418816. Its totient is φ = 304280064.

The previous prime is 1011200087. The next prime is 1011200117. The reversal of 1011200112 is 2110021101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1011200094 and 1011200103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011200117) 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 39 ways as a sum of consecutive naturals, for example, 791218 + ... + 792494.

Almost surely, 2^1011200112 is an apocalyptic number.

1011200112 is a gapful number since it is divisible by the number (12) 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 1011200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610709408).

1011200112 is an abundant number, since it is smaller than the sum of its proper divisors (2210218704).

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

1011200112 is a wasteful number, since it uses less digits than its factorization.

1011200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1011200112 is about 31799.3728240039. The cubic root of 1011200112 is about 1003.7195186944.

Adding to 1011200112 its reverse (2110021101), we get a palindrome (3121221213).

The spelling of 1011200112 in words is "one billion, eleven million, two hundred thousand, one hundred twelve".