6123321308160 has 2112 divisors, whose sum is σ = 26173247772672. Its totient is φ = 1343740575744.

The previous prime is 6123321308123. The next prime is 6123321308161. The reversal of 6123321308160 is 618031233216.

6123321308160 is a `hidden beast` number, since 6 + 1 + 2 + 332 + 1 + 308 + 16 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6123321308161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31082849182 + ... + 31082849378.

It is an arithmetic number, because the mean of its divisors is an integer number (12392636256).

Almost surely, 2^{6123321308160} is an apocalyptic number.

6123321308160 is a gapful number since it is divisible by the number (60) 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 6123321308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13086623886336).

6123321308160 is an abundant number, since it is smaller than the sum of its proper divisors (20049926464512).

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

6123321308160 is a wasteful number, since it uses less digits than its factorization.

6123321308160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 6123321308160 in words is "six trillion, one hundred twenty-three billion, three hundred twenty-one million, three hundred eight thousand, one hundred sixty".