27312120 has 256 divisors, whose sum is σ = 105408000. Its totient is φ = 6272640.

The previous prime is 27312107. The next prime is 27312133. The reversal of 27312120 is 2121372.

It is an interprime number because it is at equal distance from previous prime (27312107) and next prime (27312133).

It is a super-3 number, since 3×27312120³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 27312093 and 27312102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1437471 + ... + 1437489.

It is an arithmetic number, because the mean of its divisors is an integer number (411750).

Almost surely, 2^27312120 is an apocalyptic number.

27312120 is a gapful number since it is divisible by the number (20) 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 27312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52704000).

27312120 is an abundant number, since it is smaller than the sum of its proper divisors (78095880).

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

27312120 is a wasteful number, since it uses less digits than its factorization.

27312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 27312120 is about 5226.0998842349. The cubic root of 27312120 is about 301.1515739355.

Adding to 27312120 its reverse (2121372), we get a palindrome (29433492).

It can be divided in two parts, 2731 and 2120, that added together give a triangular number (4851 = T₉₈).

The spelling of 27312120 in words is "twenty-seven million, three hundred twelve thousand, one hundred twenty".