122170032 has 100 divisors (see below), whose sum is σ = 357305256. Its totient is φ = 40296960.

The previous prime is 122170031. The next prime is 122170049. The reversal of 122170032 is 230071221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122169987 and 122170014.

It is not an unprimeable number, because it can be changed into a prime (122170031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 138232 + ... + 139112.

Almost surely, 2^122170032 is an apocalyptic number.

122170032 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 122170032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178652628).

122170032 is an abundant number, since it is smaller than the sum of its proper divisors (235135224).

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

122170032 is a wasteful number, since it uses less digits than its factorization.

122170032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 122170032 is about 11053.0553242079. The cubic root of 122170032 is about 496.1978702376.

It can be divided in two parts, 1221 and 70032, that added together give a triangular number (71253 = T₃₇₇).

The spelling of 122170032 in words is "one hundred twenty-two million, one hundred seventy thousand, thirty-two".