122172064 has 48 divisors (see below), whose sum is σ = 291066048. Its totient is φ = 49277952.

The previous prime is 122172059. The next prime is 122172077. The reversal of 122172064 is 460271221.

It is a super-3 number, since 3×122172064³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12234 + ... + 19849.

It is an arithmetic number, because the mean of its divisors is an integer number (6063876).

Almost surely, 2^122172064 is an apocalyptic number.

122172064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122172064 is an abundant number, since it is smaller than the sum of its proper divisors (168893984).

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

122172064 is a wasteful number, since it uses less digits than its factorization.

122172064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32117 (or 32109 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 122172064 is about 11053.1472441111. The cubic root of 122172064 is about 496.2006212355.

The spelling of 122172064 in words is "one hundred twenty-two million, one hundred seventy-two thousand, sixty-four".