122448960 has 336 divisors, whose sum is σ = 464314032. Its totient is φ = 29491200.

The previous prime is 122448929. The next prime is 122448971. The reversal of 122448960 is 69844221.

122448960 is a `hidden beast` number, since 122 + 448 + 96 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 28901376 + 93547584 = 5376^2 + 9672^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2007330 + ... + 2007390.

It is an arithmetic number, because the mean of its divisors is an integer number (1381887).

Almost surely, 2^122448960 is an apocalyptic number.

122448960 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 122448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232157016).

122448960 is an abundant number, since it is smaller than the sum of its proper divisors (341865072).

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

122448960 is a wasteful number, since it uses less digits than its factorization.

122448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 122448960 is about 11065.6658181964. The cubic root of 122448960 is about 496.5752084998.

The spelling of 122448960 in words is "one hundred twenty-two million, four hundred forty-eight thousand, nine hundred sixty".