16123272000 has 448 divisors, whose sum is σ = 58599141120. Its totient is φ = 3873792000.

The previous prime is 16123271993. The next prime is 16123272037. The reversal of 16123272000 is 27232161.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41447806 + ... + 41448194.

Almost surely, 2^16123272000 is an apocalyptic number.

16123272000 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 16123272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29299570560).

16123272000 is an abundant number, since it is smaller than the sum of its proper divisors (42475869120).

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

16123272000 is a wasteful number, since it uses less digits than its factorization.

16123272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 16123272000 in words is "sixteen billion, one hundred twenty-three million, two hundred seventy-two thousand".