1167165120 has 112 divisors (see below), whose sum is σ = 4042672128. Its totient is φ = 282946560.

The previous prime is 1167165119. The next prime is 1167165121. The reversal of 1167165120 is 215617611.

It is an interprime number because it is at equal distance from previous prime (1167165119) and next prime (1167165121).

It is a super-2 number, since 2×1167165120² = 2724548834689228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1167165121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44704 + ... + 65823.

Almost surely, 2^1167165120 is an apocalyptic number.

1167165120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1167165120 is an abundant number, since it is smaller than the sum of its proper divisors (2875507008).

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

1167165120 is a wasteful number, since it uses less digits than its factorization.

1167165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110558 (or 110548 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 1167165120 is about 34163.7983836692. The cubic root of 1167165120 is about 1052.8765025723.

The spelling of 1167165120 in words is "one billion, one hundred sixty-seven million, one hundred sixty-five thousand, one hundred twenty".