36125120 has 56 divisors (see below), whose sum is σ = 87172800. Its totient is φ = 14257152.

The previous prime is 36125101. The next prime is 36125123. The reversal of 36125120 is 2152163.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 36125092 and 36125101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36125123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 24566 + ... + 25994.

Almost surely, 2^36125120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43586400).

36125120 is an abundant number, since it is smaller than the sum of its proper divisors (51047680).

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

36125120 is a wasteful number, since it uses less digits than its factorization.

36125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 36125120 is about 6010.4176227613. The cubic root of 36125120 is about 330.5748169565.

Adding to 36125120 its reverse (2152163), we get a palindrome (38277283).

The spelling of 36125120 in words is "thirty-six million, one hundred twenty-five thousand, one hundred twenty".