12108579840 has 880 divisors, whose sum is σ = 51265264512. Its totient is φ = 2675441664.

The previous prime is 12108579827. The next prime is 12108579869. The reversal of 12108579840 is 4897580121.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 124830672 + ... + 124830768.

Almost surely, 2^12108579840 is an apocalyptic number.

12108579840 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 12108579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25632632256).

12108579840 is an abundant number, since it is smaller than the sum of its proper divisors (39156684672).

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

12108579840 is an equidigital number, since it uses as much as digits as its factorization.

12108579840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

12108579840 divided by its product of nonzero digits (161280) gives a triangular number (75078 = T₃₈₇).

The spelling of 12108579840 in words is "twelve billion, one hundred eight million, five hundred seventy-nine thousand, eight hundred forty".