16122488094720 has 2448 divisors, whose sum is σ = 69369567920640. Its totient is φ = 3448347033600.

The previous prime is 16122488094709. The next prime is 16122488094731. The reversal of 16122488094720 is 2749088422161.

16122488094720 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 2 + 488 + 0 + 94 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16122488094709) and next prime (16122488094731).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 264303083490 + ... + 264303083550.

Almost surely, 2^{16122488094720} is an apocalyptic number.

16122488094720 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 16122488094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34684783960320).

16122488094720 is an abundant number, since it is smaller than the sum of its proper divisors (53247079825920).

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

16122488094720 is an equidigital number, since it uses as much as digits as its factorization.

16122488094720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 16122488094720 in words is "sixteen trillion, one hundred twenty-two billion, four hundred eighty-eight million, ninety-four thousand, seven hundred twenty".