12342456720 has 240 divisors, whose sum is σ = 45526104000. Its totient is φ = 2971745280.

The previous prime is 12342456701. The next prime is 12342456751. The reversal of 12342456720 is 2765424321.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1174851 + ... + 1185309.

It is an arithmetic number, because the mean of its divisors is an integer number (189692100).

Almost surely, 2^12342456720 is an apocalyptic number.

12342456720 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 12342456720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22763052000).

12342456720 is an abundant number, since it is smaller than the sum of its proper divisors (33183647280).

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

12342456720 is a wasteful number, since it uses less digits than its factorization.

12342456720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10638 (or 10629 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 12342456720 in words is "twelve billion, three hundred forty-two million, four hundred fifty-six thousand, seven hundred twenty".