122359120 has 80 divisors (see below), whose sum is σ = 317010960. Its totient is φ = 43610112.

The previous prime is 122359117. The next prime is 122359141. The reversal of 122359120 is 21953221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7354944 + 115004176 = 2712^2 + 10724^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28132 + ... + 32188.

It is an arithmetic number, because the mean of its divisors is an integer number (3962637).

Almost surely, 2^122359120 is an apocalyptic number.

122359120 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 122359120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505480).

122359120 is an abundant number, since it is smaller than the sum of its proper divisors (194651840).

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

122359120 is a wasteful number, since it uses less digits than its factorization.

122359120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4112 (or 4106 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 122359120 is about 11061.6056700644. The cubic root of 122359120 is about 496.4537341272.

The spelling of 122359120 in words is "one hundred twenty-two million, three hundred fifty-nine thousand, one hundred twenty".