122757120 has 280 divisors, whose sum is σ = 451974204. Its totient is φ = 31850496.

The previous prime is 122757079. The next prime is 122757121. The reversal of 122757120 is 21757221.

It can be written as a sum of positive squares in 2 ways, for example, as 119771136 + 2985984 = 10944^2 + 1728^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122757121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3317742 + ... + 3317778.

Almost surely, 2^122757120 is an apocalyptic number.

122757120 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 122757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225987102).

122757120 is an abundant number, since it is smaller than the sum of its proper divisors (329217084).

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

122757120 is an frugal number, since it uses more digits than its factorization.

122757120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 122757120 is about 11079.5812195227. The cubic root of 122757120 is about 496.9914266152.

The spelling of 122757120 in words is "one hundred twenty-two million, seven hundred fifty-seven thousand, one hundred twenty".