161281120 has 384 divisors, whose sum is σ = 548674560. Its totient is φ = 43130880.

The previous prime is 161281117. The next prime is 161281147. The reversal of 161281120 is 21182161.

161281120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 161281091 and 161281100.

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, 3043014 + ... + 3043066.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 2^161281120 is an apocalyptic number.

161281120 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 161281120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274337280).

161281120 is an abundant number, since it is smaller than the sum of its proper divisors (387393440).

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

161281120 is a wasteful number, since it uses less digits than its factorization.

161281120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

The square root of 161281120 is about 12699.6503888887. The cubic root of 161281120 is about 544.3286292904.

The spelling of 161281120 in words is "one hundred sixty-one million, two hundred eighty-one thousand, one hundred twenty".