12301907705840 has 80 divisors (see below), whose sum is σ = 29274343890528. Its totient is φ = 4805136580608.

The previous prime is 12301907705827. The next prime is 12301907705849. The reversal of 12301907705840 is 4850770910321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301907705849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13515344 + ... + 14396816.

Almost surely, 2^{12301907705840} is an apocalyptic number.

12301907705840 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 12301907705840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14637171945264).

12301907705840 is an abundant number, since it is smaller than the sum of its proper divisors (16972436184688).

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

12301907705840 is a wasteful number, since it uses less digits than its factorization.

12301907705840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885586 (or 885580 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 47.

The spelling of 12301907705840 in words is "twelve trillion, three hundred one billion, nine hundred seven million, seven hundred five thousand, eight hundred forty".