12321942151680 has 640 divisors, whose sum is σ = 50965120166400. Its totient is φ = 2763297718272.

The previous prime is 12321942151619. The next prime is 12321942151699. The reversal of 12321942151680 is 8615124912321.

12321942151680 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 19 + 42 + 1 + 516 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 25403266 + ... + 25883774.

It is an arithmetic number, because the mean of its divisors is an integer number (79633000260).

Almost surely, 2^{12321942151680} is an apocalyptic number.

12321942151680 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 12321942151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25482560083200).

12321942151680 is an abundant number, since it is smaller than the sum of its proper divisors (38643178014720).

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

12321942151680 is an equidigital number, since it uses as much as digits as its factorization.

12321942151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480601 (or 480579 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 12321942151680 in words is "twelve trillion, three hundred twenty-one billion, nine hundred forty-two million, one hundred fifty-one thousand, six hundred eighty".