122146560 has 216 divisors, whose sum is σ = 441945504. Its totient is φ = 31088640.

The previous prime is 122146553. The next prime is 122146589. The reversal of 122146560 is 65641221.

122146560 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 4 + 656 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 264730 + ... + 265190.

It is an arithmetic number, because the mean of its divisors is an integer number (2046044).

Almost surely, 2^122146560 is an apocalyptic number.

122146560 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 122146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220972752).

122146560 is an abundant number, since it is smaller than the sum of its proper divisors (319798944).

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

122146560 is a wasteful number, since it uses less digits than its factorization.

122146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 122146560 is about 11051.9934853401. The cubic root of 122146560 is about 496.1660907519.

Adding to 122146560 its reverse (65641221), we get a palindrome (187787781).

The spelling of 122146560 in words is "one hundred twenty-two million, one hundred forty-six thousand, five hundred sixty".