1120753200 has 240 divisors, whose sum is σ = 4282154496. Its totient is φ = 244992000.

The previous prime is 1120753187. The next prime is 1120753213. The reversal of 1120753200 is 23570211.

It is an interprime number because it is at equal distance from previous prime (1120753187) and next prime (1120753213).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 190300 + ... + 196100.

Almost surely, 2^1120753200 is an apocalyptic number.

1120753200 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 1120753200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141077248).

1120753200 is an abundant number, since it is smaller than the sum of its proper divisors (3161401296).

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

1120753200 is a wasteful number, since it uses less digits than its factorization.

1120753200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5852 (or 5841 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 1120753200 is about 33477.6522474322. The cubic root of 1120753200 is about 1038.7315650233.

The spelling of 1120753200 in words is "one billion, one hundred twenty million, seven hundred fifty-three thousand, two hundred".