1161310120 has 128 divisors (see below), whose sum is σ = 2875836960. Its totient is φ = 420249600.

The previous prime is 1161310109. The next prime is 1161310141. The reversal of 1161310120 is 210131611.

It can be written as a sum of positive squares in 16 ways, for example, as 1004509636 + 156800484 = 31694^2 + 12522^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1161310094 and 1161310103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2540932 + ... + 2541388.

Almost surely, 2^1161310120 is an apocalyptic number.

1161310120 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 1161310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437918480).

1161310120 is an abundant number, since it is smaller than the sum of its proper divisors (1714526840).

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

1161310120 is a wasteful number, since it uses less digits than its factorization.

1161310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 1161310120 is about 34078.0005282000. Note that the first 3 decimals coincide. The cubic root of 1161310120 is about 1051.1129906469.

Subtracting from 1161310120 its product of nonzero digits (36), we obtain a square (1161310084 = 34078²).

Adding to 1161310120 its reverse (210131611), we get a palindrome (1371441731).

The spelling of 1161310120 in words is "one billion, one hundred sixty-one million, three hundred ten thousand, one hundred twenty".