1121100192 has 72 divisors (see below), whose sum is σ = 3196851840. Its totient is φ = 372677760.

The previous prime is 1121100133. The next prime is 1121100193. The reversal of 1121100192 is 2910011211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1121100193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104017 + ... + 114287.

It is an arithmetic number, because the mean of its divisors is an integer number (44400720).

Almost surely, 2^1121100192 is an apocalyptic number.

1121100192 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 1121100192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598425920).

1121100192 is an abundant number, since it is smaller than the sum of its proper divisors (2075751648).

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

1121100192 is a wasteful number, since it uses less digits than its factorization.

1121100192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10666 (or 10655 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The square root of 1121100192 is about 33482.8342886321. The cubic root of 1121100192 is about 1038.8387531632.

The spelling of 1121100192 in words is "one billion, one hundred twenty-one million, one hundred thousand, one hundred ninety-two".