12108493101600 has 864 divisors, whose sum is σ = 49982476916736. Its totient is φ = 2700779673600.

The previous prime is 12108493101541. The next prime is 12108493101637. The reversal of 12108493101600 is 610139480121.

12108493101600 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 8 + 49 + 3 + 1 + 0 + 1 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 821966235 + ... + 821980965.

It is an arithmetic number, because the mean of its divisors is an integer number (57850089024).

Almost surely, 2^{12108493101600} is an apocalyptic number.

12108493101600 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 12108493101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24991238458368).

12108493101600 is an abundant number, since it is smaller than the sum of its proper divisors (37873983815136).

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

12108493101600 is a wasteful number, since it uses less digits than its factorization.

12108493101600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15158 (or 15142 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 12108493101600 in words is "twelve trillion, one hundred eight billion, four hundred ninety-three million, one hundred one thousand, six hundred".