16122181228560 has 640 divisors, whose sum is σ = 64197230400000. Its totient is φ = 3675441070080.

The previous prime is 16122181228529. The next prime is 16122181228579. The reversal of 16122181228560 is 6582218122161.

16122181228560 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 2 + 1 + 81 + 2 + 2 + 8 + 560 = 666.

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 127 ways as a sum of consecutive naturals, for example, 504480102 + ... + 504512058.

It is an arithmetic number, because the mean of its divisors is an integer number (100308172500).

Almost surely, 2^{16122181228560} is an apocalyptic number.

16122181228560 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 16122181228560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32098615200000).

16122181228560 is an abundant number, since it is smaller than the sum of its proper divisors (48075049171440).

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

16122181228560 is a wasteful number, since it uses less digits than its factorization.

16122181228560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33256 (or 33244 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 16122181228560 in words is "sixteen trillion, one hundred twenty-two billion, one hundred eighty-one million, two hundred twenty-eight thousand, five hundred sixty".