2712120 has 64 divisors (see below), whose sum is σ = 8255520. Its totient is φ = 712704.

The previous prime is 2712119. The next prime is 2712131. The reversal of 2712120 is 212172.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2712120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11524 + ... + 11756.

2^2712120 is an apocalyptic number.

2712120 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 2712120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127760).

2712120 is an abundant number, since it is smaller than the sum of its proper divisors (5543400).

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

2712120 is a wasteful number, since it uses less digits than its factorization.

2712120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 2712120 is about 1646.8515415787. The cubic root of 2712120 is about 139.4557097870.

Adding to 2712120 its reverse (212172), we get a palindrome (2924292).

The spelling of 2712120 in words is "two million, seven hundred twelve thousand, one hundred twenty".