122744160 has 576 divisors, whose sum is σ = 554770944. Its totient is φ = 24883200.

The previous prime is 122744099. The next prime is 122744179. The reversal of 122744160 is 61447221.

It is a super-2 number, since 2×122744160² = 30132257628211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2993740 + ... + 2993780.

It is an arithmetic number, because the mean of its divisors is an integer number (963144).

Almost surely, 2^122744160 is an apocalyptic number.

122744160 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 122744160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277385472).

122744160 is an abundant number, since it is smaller than the sum of its proper divisors (432026784).

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

122744160 is a wasteful number, since it uses less digits than its factorization.

122744160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 122744160 is about 11078.9963444348. The cubic root of 122744160 is about 496.9739361550.

The spelling of 122744160 in words is "one hundred twenty-two million, seven hundred forty-four thousand, one hundred sixty".