164122112 has 160 divisors (see below), whose sum is σ = 428972544. Its totient is φ = 60825600.

The previous prime is 164122103. The next prime is 164122117. The reversal of 164122112 is 211221461.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164122117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 906662 + ... + 906842.

Almost surely, 2^164122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214486272).

164122112 is an abundant number, since it is smaller than the sum of its proper divisors (264850432).

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

164122112 is a wasteful number, since it uses less digits than its factorization.

164122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 224 counting only the distinct ones).

The product of its digits is 192, while the sum is 20.

The square root of 164122112 is about 12811.0152603141. The cubic root of 164122112 is about 547.5061884304.

Adding to 164122112 its reverse (211221461), we get a palindrome (375343573).

The spelling of 164122112 in words is "one hundred sixty-four million, one hundred twenty-two thousand, one hundred twelve".