122680448 has 72 divisors (see below), whose sum is σ = 271693065. Its totient is φ = 55137280.

The previous prime is 122680447. The next prime is 122680457. The reversal of 122680448 is 844086221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 109662784 + 13017664 = 10472^2 + 3608^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7832.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122680447) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1378388 + ... + 1378476.

Almost surely, 2^122680448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122680448

122680448 is an abundant number, since it is smaller than the sum of its proper divisors (149012617).

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

122680448 is an frugal number, since it uses more digits than its factorization.

122680448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 122680448 is about 11076.1206205061. The cubic root of 122680448 is about 496.8879342809.

The spelling of 122680448 in words is "one hundred twenty-two million, six hundred eighty thousand, four hundred forty-eight".