122650560 has 168 divisors, whose sum is σ = 433645056. Its totient is φ = 31795200.

The previous prime is 122650547. The next prime is 122650571. The reversal of 122650560 is 65056221.

122650560 is a `hidden beast` number, since 1 + 2 + 2 + 650 + 5 + 6 + 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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105985 + ... + 107135.

Almost surely, 2^122650560 is an apocalyptic number.

122650560 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 122650560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216822528).

122650560 is an abundant number, since it is smaller than the sum of its proper divisors (310994496).

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

122650560 is a wasteful number, since it uses less digits than its factorization.

122650560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 122650560 is about 11074.7713294677. The cubic root of 122650560 is about 496.8475795952.

The spelling of 122650560 in words is "one hundred twenty-two million, six hundred fifty thousand, five hundred sixty".