16122722688000 has 1056 divisors, whose sum is σ = 61464716801280. Its totient is φ = 4052643840000.

The previous prime is 16122722687989. The next prime is 16122722688031. The reversal of 16122722688000 is 88622722161.

16122722688000 is a `hidden beast` number, since 1 + 612 + 2 + 7 + 2 + 26 + 8 + 8 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4618366255 + ... + 4618369745.

Almost surely, 2^{16122722688000} is an apocalyptic number.

16122722688000 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 16122722688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30732358400640).

16122722688000 is an abundant number, since it is smaller than the sum of its proper divisors (45341994113280).

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

16122722688000 is a wasteful number, since it uses less digits than its factorization.

16122722688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762 (or 3731 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 16122722688000 in words is "sixteen trillion, one hundred twenty-two billion, seven hundred twenty-two million, six hundred eighty-eight thousand".