36117120 has 128 divisors (see below), whose sum is σ = 124064640. Its totient is φ = 8884224.

The previous prime is 36117089. The next prime is 36117161. The reversal of 36117120 is 2171163.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24237 + ... + 25683.

It is an arithmetic number, because the mean of its divisors is an integer number (969255).

Almost surely, 2^36117120 is an apocalyptic number.

36117120 is a gapful number since it is divisible by the number (30) 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 36117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62032320).

36117120 is an abundant number, since it is smaller than the sum of its proper divisors (87947520).

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

36117120 is a wasteful number, since it uses less digits than its factorization.

36117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 36117120 is about 6009.7520747532. The cubic root of 36117120 is about 330.5504129427.

Adding to 36117120 its reverse (2171163), we get a palindrome (38288283).

It can be divided in two parts, 3611 and 7120, that added together give a triangular number (10731 = T₁₄₆).

The spelling of 36117120 in words is "thirty-six million, one hundred seventeen thousand, one hundred twenty".