12109016916480 has 320 divisors, whose sum is σ = 42257340499968. Its totient is φ = 2933632450560.

The previous prime is 12109016916463. The next prime is 12109016916497. The reversal of 12109016916480 is 8461961090121.

It is an interprime number because it is at equal distance from previous prime (12109016916463) and next prime (12109016916497).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133686567 + ... + 133777113.

Almost surely, 2^{12109016916480} is an apocalyptic number.

12109016916480 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 12109016916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21128670249984).

12109016916480 is an abundant number, since it is smaller than the sum of its proper divisors (30148323583488).

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

12109016916480 is a wasteful number, since it uses less digits than its factorization.

12109016916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92167 (or 92151 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The spelling of 12109016916480 in words is "twelve trillion, one hundred nine billion, sixteen million, nine hundred sixteen thousand, four hundred eighty".