12301616396160 has 3840 divisors, whose sum is σ = 58034540551680. Its totient is φ = 2458062028800.

The previous prime is 12301616396137. The next prime is 12301616396189. The reversal of 12301616396160 is 6169361610321.

12301616396160 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 1 + 6 + 1 + 639 + 6 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 62444753182 + ... + 62444753378.

It is an arithmetic number, because the mean of its divisors is an integer number (15113161602).

Almost surely, 2^{12301616396160} is an apocalyptic number.

12301616396160 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 12301616396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29017270275840).

12301616396160 is an abundant number, since it is smaller than the sum of its proper divisors (45732924155520).

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

12301616396160 is a wasteful number, since it uses less digits than its factorization.

12301616396160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 12301616396160 in words is "twelve trillion, three hundred one billion, six hundred sixteen million, three hundred ninety-six thousand, one hundred sixty".