12942720 has 256 divisors, whose sum is σ = 52876800. Its totient is φ = 2930688.

The previous prime is 12942701. The next prime is 12942737. The reversal of 12942720 is 2724921.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 120907 + ... + 121013.

It is an arithmetic number, because the mean of its divisors is an integer number (206550).

Almost surely, 2^12942720 is an apocalyptic number.

12942720 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 12942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26438400).

12942720 is an abundant number, since it is smaller than the sum of its proper divisors (39934080).

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

12942720 is a wasteful number, since it uses less digits than its factorization.

12942720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12942720 is about 3597.5991994662. The cubic root of 12942720 is about 234.7876155669.

It can be divided in two parts, 129 and 42720, that added together give a square (42849 = 207²).

The spelling of 12942720 in words is "twelve million, nine hundred forty-two thousand, seven hundred twenty".