122559120 has 360 divisors, whose sum is σ = 475088640. Its totient is φ = 28200960.

The previous prime is 122559113. The next prime is 122559121. The reversal of 122559120 is 21955221.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122559121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3953505 + ... + 3953535.

Almost surely, 2^122559120 is an apocalyptic number.

122559120 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 122559120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237544320).

122559120 is an abundant number, since it is smaller than the sum of its proper divisors (352529520).

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

122559120 is a wasteful number, since it uses less digits than its factorization.

122559120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 122559120 is about 11070.6422577916. The cubic root of 122559120 is about 496.7240768634.

The spelling of 122559120 in words is "one hundred twenty-two million, five hundred fifty-nine thousand, one hundred twenty".