16126224000 has 256 divisors, whose sum is σ = 53865302400. Its totient is φ = 4267622400.

The previous prime is 16126223999. The next prime is 16126224007. The reversal of 16126224000 is 42262161.

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

It is not an unprimeable number, because it can be changed into a prime (16126224007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6670792 + ... + 6673208.

Almost surely, 2^16126224000 is an apocalyptic number.

16126224000 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 16126224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26932651200).

16126224000 is an abundant number, since it is smaller than the sum of its proper divisors (37739078400).

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

16126224000 is a wasteful number, since it uses less digits than its factorization.

16126224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 16126224000 its reverse (42262161), we get a palindrome (16168486161).

The spelling of 16126224000 in words is "sixteen billion, one hundred twenty-six million, two hundred twenty-four thousand".