1101165120 has 168 divisors, whose sum is σ = 4131990720. Its totient is φ = 266941440.

The previous prime is 1101165071. The next prime is 1101165127. The reversal of 1101165120 is 215611011.

It is a happy number.

1101165120 is a `hidden beast` number, since 1 + 1 + 0 + 11 + 651 + 2 + 0 = 666.

It is a super-2 number, since 2×1101165120² = 2425129243009228800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1101165093 and 1101165102.

It is not an unprimeable number, because it can be changed into a prime (1101165127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14301 + ... + 49059.

Almost surely, 2^1101165120 is an apocalyptic number.

1101165120 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 1101165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065995360).

1101165120 is an abundant number, since it is smaller than the sum of its proper divisors (3030825600).

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

1101165120 is a wasteful number, since it uses less digits than its factorization.

1101165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34793 (or 34780 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The square root of 1101165120 is about 33183.8080997344. The cubic root of 1101165120 is about 1032.6444505515.

Adding to 1101165120 its reverse (215611011), we get a palindrome (1316776131).

The spelling of 1101165120 in words is "one billion, one hundred one million, one hundred sixty-five thousand, one hundred twenty".