122042880 has 120 divisors (see below), whose sum is σ = 422748612. Its totient is φ = 32538624.

The previous prime is 122042873. The next prime is 122042887. The reversal of 122042880 is 88240221.

It is an interprime number because it is at equal distance from previous prime (122042873) and next prime (122042887).

It can be written as a sum of positive squares in 2 ways, for example, as 120824064 + 1218816 = 10992^2 + 1104^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (122042887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20392 + ... + 25688.

Almost surely, 2^122042880 is an apocalyptic number.

122042880 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 122042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211374306).

122042880 is an abundant number, since it is smaller than the sum of its proper divisors (300705732).

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

122042880 is an equidigital number, since it uses as much as digits as its factorization.

122042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5326 (or 5307 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 122042880 is about 11047.3019330513. The cubic root of 122042880 is about 496.0256663791.

It can be divided in two parts, 1220 and 42880, that added together give a square (44100 = 210²).

The spelling of 122042880 in words is "one hundred twenty-two million, forty-two thousand, eight hundred eighty".