36030120 has 128 divisors (see below), whose sum is σ = 125798400. Its totient is φ = 8084736.

The previous prime is 36030107. The next prime is 36030131. The reversal of 36030120 is 2103063.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 36030120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49197 + ... + 49923.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 2^36030120 is an apocalyptic number.

36030120 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 36030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

36030120 is an abundant number, since it is smaller than the sum of its proper divisors (89768280).

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

36030120 is a wasteful number, since it uses less digits than its factorization.

36030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 36030120 is about 6002.5094752112. The cubic root of 36030120 is about 330.2847863015.

Adding to 36030120 its reverse (2103063), we get a palindrome (38133183).

The spelling of 36030120 in words is "thirty-six million, thirty thousand, one hundred twenty".