12342960 has 240 divisors, whose sum is σ = 49520640. Its totient is φ = 2695680.

The previous prime is 12342949. The next prime is 12342983. The reversal of 12342960 is 6924321.

12342960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156201 + ... + 156279.

It is an arithmetic number, because the mean of its divisors is an integer number (206336).

Almost surely, 2^12342960 is an apocalyptic number.

12342960 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 12342960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24760320).

12342960 is an abundant number, since it is smaller than the sum of its proper divisors (37177680).

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

12342960 is a wasteful number, since it uses less digits than its factorization.

12342960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 12342960 is about 3513.2549010853. The cubic root of 12342960 is about 231.1034562170.

The spelling of 12342960 in words is "twelve million, three hundred forty-two thousand, nine hundred sixty".