12301097564160 has 384 divisors, whose sum is σ = 43803966024000. Its totient is φ = 3274485792768.

The previous prime is 12301097564131. The next prime is 12301097564201. The reversal of 12301097564160 is 6146579010321.

12301097564160 is a `hidden beast` number, since 1 + 23 + 0 + 1 + 0 + 9 + 7 + 564 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 157278024 + ... + 157356216.

Almost surely, 2^{12301097564160} is an apocalyptic number.

12301097564160 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 12301097564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21901983012000).

12301097564160 is an abundant number, since it is smaller than the sum of its proper divisors (31502868459840).

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

12301097564160 is an equidigital number, since it uses as much as digits as its factorization.

12301097564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78798 (or 78772 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12301097564160 in words is "twelve trillion, three hundred one billion, ninety-seven million, five hundred sixty-four thousand, one hundred sixty".