162117120 has 320 divisors, whose sum is σ = 601032960. Its totient is φ = 36864000.

The previous prime is 162117103. The next prime is 162117127. The reversal of 162117120 is 21711261.

It is a happy number.

162117120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162117127) 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 31 ways as a sum of consecutive naturals, for example, 1605070 + ... + 1605170.

It is an arithmetic number, because the mean of its divisors is an integer number (1878228).

Almost surely, 2^162117120 is an apocalyptic number.

162117120 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 162117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300516480).

162117120 is an abundant number, since it is smaller than the sum of its proper divisors (438915840).

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

162117120 is a wasteful number, since it uses less digits than its factorization.

162117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 162117120 is about 12732.5221382097. The cubic root of 162117120 is about 545.2675172923.

Adding to 162117120 its reverse (21711261), we get a palindrome (183828381).

The spelling of 162117120 in words is "one hundred sixty-two million, one hundred seventeen thousand, one hundred twenty".