36126120 has 32 divisors (see below), whose sum is σ = 108378720. Its totient is φ = 9633600.

The previous prime is 36126109. The next prime is 36126131. The reversal of 36126120 is 2162163.

It is a happy number.

36126120 is digitally balanced in base 2, 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 (36126109) and next prime (36126131).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150406 + ... + 150645.

It is an arithmetic number, because the mean of its divisors is an integer number (3386835).

Almost surely, 2^36126120 is an apocalyptic number.

36126120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36126120 is an abundant number, since it is smaller than the sum of its proper divisors (72252600).

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

36126120 is a wasteful number, since it uses less digits than its factorization.

36126120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301065 (or 301061 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 36126120 is about 6010.5008110806. The cubic root of 36126120 is about 330.5778672049.

Adding to 36126120 its reverse (2162163), we get a palindrome (38288283).

The spelling of 36126120 in words is "thirty-six million, one hundred twenty-six thousand, one hundred twenty".