122684160 has 144 divisors (see below), whose sum is σ = 401474304. Its totient is φ = 31911936.

The previous prime is 122684137. The next prime is 122684171. The reversal of 122684160 is 61486221.

It is a super-2 number, since 2×122684160² = 30102806229811200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164749 + ... + 165491.

It is an arithmetic number, because the mean of its divisors is an integer number (2788016).

Almost surely, 2^122684160 is an apocalyptic number.

122684160 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 122684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200737152).

122684160 is an abundant number, since it is smaller than the sum of its proper divisors (278790144).

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

122684160 is an equidigital number, since it uses as much as digits as its factorization.

122684160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 122684160 is about 11076.2881869334. The cubic root of 122684160 is about 496.8929457543.

The spelling of 122684160 in words is "one hundred twenty-two million, six hundred eighty-four thousand, one hundred sixty".