36120120 has 96 divisors (see below), whose sum is σ = 113475600. Its totient is φ = 9197056.

The previous prime is 36120107. The next prime is 36120131. The reversal of 36120120 is 2102163.

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 36120120.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 63196 + ... + 63764.

Almost surely, 2^36120120 is an apocalyptic number.

36120120 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 36120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56737800).

36120120 is an abundant number, since it is smaller than the sum of its proper divisors (77355480).

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

36120120 is a wasteful number, since it uses less digits than its factorization.

36120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 36120120 is about 6010.0016638933. The cubic root of 36120120 is about 330.5595648701.

Adding to 36120120 its reverse (2102163), we get a palindrome (38222283).

The spelling of 36120120 in words is "thirty-six million, one hundred twenty thousand, one hundred twenty".