12723120 has 120 divisors (see below), whose sum is σ = 43872192. Its totient is φ = 3302400.

The previous prime is 12723119. The next prime is 12723121. The reversal of 12723120 is 2132721.

It is an interprime number because it is at equal distance from previous prime (12723119) and next prime (12723121).

It is a tau number, because it is divible by the number of its divisors (120).

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 = 12723093 and 12723102.

It is not an unprimeable number, because it can be changed into a prime (12723121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29305 + ... + 29735.

Almost surely, 2^12723120 is an apocalyptic number.

12723120 is a gapful number since it is divisible by the number (10) 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 12723120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21936096).

12723120 is an abundant number, since it is smaller than the sum of its proper divisors (31149072).

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

12723120 is a wasteful number, since it uses less digits than its factorization.

12723120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 482 counting only the distinct ones).

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

The square root of 12723120 is about 3566.9482754870. The cubic root of 12723120 is about 233.4521481053.

Adding to 12723120 its reverse (2132721), we get a palindrome (14855841).

The spelling of 12723120 in words is "twelve million, seven hundred twenty-three thousand, one hundred twenty".