122173632 has 168 divisors, whose sum is σ = 404851616. Its totient is φ = 34504704.

The previous prime is 122173627. The next prime is 122173643. The reversal of 122173632 is 236371221.

122173632 is a `hidden beast` number, since 1 + 2 + 21 + 7 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×122173632³ (a number of 25 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122173596 and 122173605.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632928 + ... + 633120.

Almost surely, 2^122173632 is an apocalyptic number.

122173632 is a gapful number since it is divisible by the number (12) 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 122173632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202425808).

122173632 is an abundant number, since it is smaller than the sum of its proper divisors (282677984).

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

122173632 is a wasteful number, since it uses less digits than its factorization.

122173632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 362 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 122173632 is about 11053.2181739075. The cubic root of 122173632 is about 496.2027440318.

The spelling of 122173632 in words is "one hundred twenty-two million, one hundred seventy-three thousand, six hundred thirty-two".