122110560 has 288 divisors, whose sum is σ = 490377888. Its totient is φ = 27279360.

The previous prime is 122110543. The next prime is 122110591. The reversal of 122110560 is 65011221.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 205624 + ... + 206216.

It is an arithmetic number, because the mean of its divisors is an integer number (1702701).

Almost surely, 2^122110560 is an apocalyptic number.

122110560 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 122110560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245188944).

122110560 is an abundant number, since it is smaller than the sum of its proper divisors (368267328).

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

122110560 is a wasteful number, since it uses less digits than its factorization.

122110560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 122110560 is about 11050.3646998640. The cubic root of 122110560 is about 496.1173412978.

Adding to 122110560 its reverse (65011221), we get a palindrome (187121781).

It can be divided in two parts, 1221 and 10560, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 122110560 in words is "one hundred twenty-two million, one hundred ten thousand, five hundred sixty".