16133120600 has 96 divisors (see below), whose sum is σ = 37951856640. Its totient is φ = 6377616000.

The previous prime is 16133120579. The next prime is 16133120623. The reversal of 16133120600 is 602133161.

It is a happy number.

16133120600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 6225305 + ... + 6227895.

It is an arithmetic number, because the mean of its divisors is an integer number (395331840).

Almost surely, 2^16133120600 is an apocalyptic number.

16133120600 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 16133120600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18975928320).

16133120600 is an abundant number, since it is smaller than the sum of its proper divisors (21818736040).

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

16133120600 is a wasteful number, since it uses less digits than its factorization.

16133120600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 16133120600 its reverse (602133161), we get a palindrome (16735253761).

It can be divided in two parts, 1613 and 3120600, that added together give a palindrome (3122213).

The spelling of 16133120600 in words is "sixteen billion, one hundred thirty-three million, one hundred twenty thousand, six hundred".