1120165200 has 600 divisors, whose sum is σ = 5023339200. Its totient is φ = 232243200.

The previous prime is 1120165171. The next prime is 1120165213. The reversal of 1120165200 is 25610211.

1120165200 is a `hidden beast` number, since 1 + 12 + 0 + 1 + 652 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2494576 + ... + 2495024.

It is an arithmetic number, because the mean of its divisors is an integer number (8372232).

Almost surely, 2^1120165200 is an apocalyptic number.

1120165200 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 1120165200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511669600).

1120165200 is an abundant number, since it is smaller than the sum of its proper divisors (3903174000).

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

1120165200 is a wasteful number, since it uses less digits than its factorization.

1120165200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1120165200 is about 33468.8691174351. The cubic root of 1120165200 is about 1038.5498773853.

Adding to 1120165200 its reverse (25610211), we get a palindrome (1145775411).

The spelling of 1120165200 in words is "one billion, one hundred twenty million, one hundred sixty-five thousand, two hundred".