1120152072 has 128 divisors (see below), whose sum is σ = 3172377600. Its totient is φ = 327013632.

The previous prime is 1120152071. The next prime is 1120152073. The reversal of 1120152072 is 2702510211.

It is an interprime number because it is at equal distance from previous prime (1120152071) and next prime (1120152073).

It is not an unprimeable number, because it can be changed into a prime (1120152071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 996903 + ... + 998025.

It is an arithmetic number, because the mean of its divisors is an integer number (24784200).

Almost surely, 2^1120152072 is an apocalyptic number.

1120152072 is a gapful number since it is divisible by the number (12) 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 1120152072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586188800).

1120152072 is an abundant number, since it is smaller than the sum of its proper divisors (2052225528).

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

1120152072 is a wasteful number, since it uses less digits than its factorization.

1120152072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 1120152072 is about 33468.6729943092. The cubic root of 1120152072 is about 1038.5458202052.

Adding to 1120152072 its reverse (2702510211), we get a palindrome (3822662283).

The spelling of 1120152072 in words is "one billion, one hundred twenty million, one hundred fifty-two thousand, seventy-two".