1150611120 has 240 divisors, whose sum is σ = 4096092000. Its totient is φ = 288645120.

The previous prime is 1150611113. The next prime is 1150611127. The reversal of 1150611120 is 211160511.

It is a happy number.

1150611120 is a `hidden beast` number, since 1 + 1 + 50 + 611 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1150611113) and next prime (1150611127).

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 1150611093 and 1150611102.

It is not an unprimeable number, because it can be changed into a prime (1150611127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3296706 + ... + 3297054.

It is an arithmetic number, because the mean of its divisors is an integer number (17067050).

Almost surely, 2^1150611120 is an apocalyptic number.

1150611120 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 1150611120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048046000).

1150611120 is an abundant number, since it is smaller than the sum of its proper divisors (2945480880).

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

1150611120 is a wasteful number, since it uses less digits than its factorization.

1150611120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 619 counting only the distinct ones).

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

The square root of 1150611120 is about 33920.6591917079. The cubic root of 1150611120 is about 1047.8751040874.

Adding to 1150611120 its reverse (211160511), we get a palindrome (1361771631).

The spelling of 1150611120 in words is "one billion, one hundred fifty million, six hundred eleven thousand, one hundred twenty".