16281120 has 96 divisors (see below), whose sum is σ = 51928128. Its totient is φ = 4287488.

The previous prime is 16281103. The next prime is 16281127. The reversal of 16281120 is 2118261.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (16281127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51202 + ... + 51518.

It is an arithmetic number, because the mean of its divisors is an integer number (540918).

Almost surely, 2^16281120 is an apocalyptic number.

16281120 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 16281120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25964064).

16281120 is an abundant number, since it is smaller than the sum of its proper divisors (35647008).

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

16281120 is a wasteful number, since it uses less digits than its factorization.

16281120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 16281120 is about 4034.9869888266. The cubic root of 16281120 is about 253.4514376980.

Adding to 16281120 its reverse (2118261), we get a palindrome (18399381).

The spelling of 16281120 in words is "sixteen million, two hundred eighty-one thousand, one hundred twenty".