122806560 has 48 divisors (see below), whose sum is σ = 386842176. Its totient is φ = 32748288.

The previous prime is 122806549. The next prime is 122806573. The reversal of 122806560 is 65608221.

It is a tau number, because it is divible by the number of its divisors (48).

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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127444 + ... + 128403.

It is an arithmetic number, because the mean of its divisors is an integer number (8059212).

Almost surely, 2^122806560 is an apocalyptic number.

122806560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122806560 is an abundant number, since it is smaller than the sum of its proper divisors (264035616).

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

122806560 is a wasteful number, since it uses less digits than its factorization.

122806560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255865 (or 255857 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 122806560 is about 11081.8121261823. The cubic root of 122806560 is about 497.0581381787.

The spelling of 122806560 in words is "one hundred twenty-two million, eight hundred six thousand, five hundred sixty".