1120392000 has 1120 divisors, whose sum is σ = 5369844480. Its totient is φ = 223948800.

The previous prime is 1120391989. The next prime is 1120392029. The reversal of 1120392000 is 2930211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 58967991 + ... + 58968009.

It is an arithmetic number, because the mean of its divisors is an integer number (4794504).

Almost surely, 2^1120392000 is an apocalyptic number.

1120392000 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 1120392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684922240).

1120392000 is an abundant number, since it is smaller than the sum of its proper divisors (4249452480).

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

1120392000 is a wasteful number, since it uses less digits than its factorization.

1120392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1120392000 is about 33472.2571691842. The cubic root of 1120392000 is about 1038.6199644336.

The spelling of 1120392000 in words is "one billion, one hundred twenty million, three hundred ninety-two thousand".