164212120 has 64 divisors (see below), whose sum is σ = 377136000. Its totient is φ = 64339968.

The previous prime is 164212067. The next prime is 164212121. The reversal of 164212120 is 21212461.

164212120 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 not an unprimeable number, because it can be changed into a prime (164212121) 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, 686961 + ... + 687199.

It is an arithmetic number, because the mean of its divisors is an integer number (5892750).

Almost surely, 2^164212120 is an apocalyptic number.

164212120 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 164212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188568000).

164212120 is an abundant number, since it is smaller than the sum of its proper divisors (212923880).

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

164212120 is a wasteful number, since it uses less digits than its factorization.

164212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 164212120 is about 12814.5276932082. The cubic root of 164212120 is about 547.6062580888.

Adding to 164212120 its reverse (21212461), we get a palindrome (185424581).

The spelling of 164212120 in words is "one hundred sixty-four million, two hundred twelve thousand, one hundred twenty".