122106160 has 160 divisors (see below), whose sum is σ = 333907200. Its totient is φ = 41057280.

The previous prime is 122106157. The next prime is 122106161. The reversal of 122106160 is 61601221.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (122106161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1120186 + ... + 1120294.

It is an arithmetic number, because the mean of its divisors is an integer number (2086920).

Almost surely, 2^122106160 is an apocalyptic number.

122106160 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 122106160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166953600).

122106160 is an abundant number, since it is smaller than the sum of its proper divisors (211801040).

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

122106160 is a wasteful number, since it uses less digits than its factorization.

122106160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 122106160 is about 11050.1656096187. The cubic root of 122106160 is about 496.1113823741. Note that the first 3 decimals are identical.

Adding to 122106160 its reverse (61601221), we get a palindrome (183707381).

The spelling of 122106160 in words is "one hundred twenty-two million, one hundred six thousand, one hundred sixty".