122135664 has 160 divisors (see below), whose sum is σ = 376404480. Its totient is φ = 33408000.

The previous prime is 122135647. The next prime is 122135719. The reversal of 122135664 is 466531221.

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 31 ways as a sum of consecutive naturals, for example, 1209214 + ... + 1209314.

It is an arithmetic number, because the mean of its divisors is an integer number (2352528).

Almost surely, 2^122135664 is an apocalyptic number.

122135664 is a gapful number since it is divisible by the number (14) 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 122135664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188202240).

122135664 is an abundant number, since it is smaller than the sum of its proper divisors (254268816).

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

122135664 is a wasteful number, since it uses less digits than its factorization.

122135664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 122135664 is about 11051.5005316020. The cubic root of 122135664 is about 496.1513369280.

Adding to 122135664 its reverse (466531221), we get a palindrome (588666885).

The spelling of 122135664 in words is "one hundred twenty-two million, one hundred thirty-five thousand, six hundred sixty-four".