36120 has 64 divisors (see below), whose sum is σ = 126720. Its totient is φ = 8064.

The previous prime is 36109. The next prime is 36131. The reversal of 36120 is 2163.

36120 = T₉₁ + T₉₂ + ... + T₉₈.

36120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36109) and next prime (36131).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

36120 is strictly pandigital in base 6.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 36096 and 36105.

It is a congruent number.

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, 819 + ... + 861.

It is an arithmetic number, because the mean of its divisors is an integer number (1980).

2³⁶¹²⁰ is an apocalyptic number.

36120 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 36120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63360).

36120 is an abundant number, since it is smaller than the sum of its proper divisors (90600).

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

36120 is a wasteful number, since it uses less digits than its factorization.

36120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 36120 is about 190.0526242913. The cubic root of 36120 is about 33.0559198803.

Adding to 36120 its reverse (2163), we get a palindrome (38283).

The spelling of 36120 in words is "thirty-six thousand, one hundred twenty".