122718820 has 96 divisors (see below), whose sum is σ = 304819200. Its totient is φ = 40635264.

The previous prime is 122718803. The next prime is 122718829. The reversal of 122718820 is 28817221.

122718820 = T₈ + T₉ + ... + T₉₀₂.

It is not an unprimeable number, because it can be changed into a prime (122718829) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 685491 + ... + 685669.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2^122718820 is an apocalyptic number.

122718820 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 122718820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

122718820 is an abundant number, since it is smaller than the sum of its proper divisors (182100380).

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

122718820 is a wasteful number, since it uses less digits than its factorization.

122718820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 122718820 is about 11077.8526800098. The cubic root of 122718820 is about 496.9397344294.

The spelling of 122718820 in words is "one hundred twenty-two million, seven hundred eighteen thousand, eight hundred twenty".