122655120 has 80 divisors (see below), whose sum is σ = 434555520. Its totient is φ = 28035072.

The previous prime is 122655109. The next prime is 122655121. The reversal of 122655120 is 21556221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (122655121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34825 + ... + 38184.

It is an arithmetic number, because the mean of its divisors is an integer number (5431944).

Almost surely, 2^122655120 is an apocalyptic number.

122655120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122655120 is an abundant number, since it is smaller than the sum of its proper divisors (311900400).

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

122655120 is a wasteful number, since it uses less digits than its factorization.

122655120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73032 (or 73026 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 122655120 is about 11074.9772008795. The cubic root of 122655120 is about 496.8537369169.

The spelling of 122655120 in words is "one hundred twenty-two million, six hundred fifty-five thousand, one hundred twenty".