1121968008 has 144 divisors (see below), whose sum is σ = 3597996480. Its totient is φ = 309391488.

The previous prime is 1121967953. The next prime is 1121968009. The reversal of 1121968008 is 8008691211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1121968009) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 422541 + ... + 425187.

Almost surely, 2^1121968008 is an apocalyptic number.

1121968008 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 1121968008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798998240).

1121968008 is an abundant number, since it is smaller than the sum of its proper divisors (2476028472).

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

1121968008 is a wasteful number, since it uses less digits than its factorization.

1121968008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 1121968008 is about 33495.7908997534. The cubic root of 1121968008 is about 1039.1067305134.

The spelling of 1121968008 in words is "one billion, one hundred twenty-one million, nine hundred sixty-eight thousand, eight".