12122104135680 has 3456 divisors, whose sum is σ = 57836882718720. Its totient is φ = 2378170368000.

The previous prime is 12122104135679. The next prime is 12122104135697. The reversal of 12122104135680 is 8653140122121.

12122104135680 is a `hidden beast` number, since 1 + 2 + 1 + 221 + 0 + 4 + 1 + 356 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 295661076460 + ... + 295661076500.

It is an arithmetic number, because the mean of its divisors is an integer number (16735209120).

Almost surely, 2^{12122104135680} is an apocalyptic number.

12122104135680 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 12122104135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28918441359360).

12122104135680 is an abundant number, since it is smaller than the sum of its proper divisors (45714778583040).

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

12122104135680 is an equidigital number, since it uses as much as digits as its factorization.

12122104135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12122104135680 in words is "twelve trillion, one hundred twenty-two billion, one hundred four million, one hundred thirty-five thousand, six hundred eighty".