122822160 has 80 divisors (see below), whose sum is σ = 381832704. Its totient is φ = 32659456.

The previous prime is 122822159. The next prime is 122822173. The reversal of 122822160 is 61228221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 122822160.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 141889 + ... + 142751.

Almost surely, 2^122822160 is an apocalyptic number.

122822160 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 122822160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190916352).

122822160 is an abundant number, since it is smaller than the sum of its proper divisors (259010544).

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

122822160 is a wasteful number, since it uses less digits than its factorization.

122822160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 122822160 is about 11082.5159598351. The cubic root of 122822160 is about 497.0791842277.

The spelling of 122822160 in words is "one hundred twenty-two million, eight hundred twenty-two thousand, one hundred sixty".