122144160 has 192 divisors, whose sum is σ = 413683200. Its totient is φ = 30200832.

The previous prime is 122144153. The next prime is 122144161. The reversal of 122144160 is 61441221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122144161) by changing a digit.

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, 537967 + ... + 538193.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2^122144160 is an apocalyptic number.

122144160 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 122144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600).

122144160 is an abundant number, since it is smaller than the sum of its proper divisors (291539040).

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

122144160 is a wasteful number, since it uses less digits than its factorization.

122144160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 122144160 is about 11051.8849071097. The cubic root of 122144160 is about 496.1628410863.

Adding to 122144160 its reverse (61441221), we get a palindrome (183585381).

The spelling of 122144160 in words is "one hundred twenty-two million, one hundred forty-four thousand, one hundred sixty".