1121179968 has 140 divisors (see below), whose sum is σ = 3498758560. Its totient is φ = 354025728.

The previous prime is 1121179963. The next prime is 1121179981. The reversal of 1121179968 is 8699711211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121179963) 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 19 ways as a sum of consecutive naturals, for example, 92805 + ... + 104187.

Almost surely, 2^1121179968 is an apocalyptic number.

1121179968 is a gapful number since it is divisible by the number (18) 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 1121179968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749379280).

1121179968 is an abundant number, since it is smaller than the sum of its proper divisors (2377578592).

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

1121179968 is a wasteful number, since it uses less digits than its factorization.

1121179968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11426 (or 11407 counting only the distinct ones).

The product of its digits is 54432, while the sum is 45.

The square root of 1121179968 is about 33484.0255644389. The cubic root of 1121179968 is about 1038.8633933739.

The spelling of 1121179968 in words is "one billion, one hundred twenty-one million, one hundred seventy-nine thousand, nine hundred sixty-eight".