36120000 has 280 divisors, whose sum is σ = 139655296. Its totient is φ = 8064000.

The previous prime is 36119999. The next prime is 36120011. The reversal of 36120000 is 2163.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 839979 + ... + 840021.

Almost surely, 2^36120000 is an apocalyptic number.

36120000 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 36120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69827648).

36120000 is an abundant number, since it is smaller than the sum of its proper divisors (103535296).

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

36120000 is an equidigital number, since it uses as much as digits as its factorization.

36120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

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

The square root of 36120000 is about 6009.9916805267. The cubic root of 36120000 is about 330.5591988028.

Adding to 36120000 its reverse (2163), we get a palindrome (36122163).

The spelling of 36120000 in words is "thirty-six million, one hundred twenty thousand".