122909248 has 112 divisors (see below), whose sum is σ = 310896000. Its totient is φ = 47792640.

The previous prime is 122909243. The next prime is 122909261. The reversal of 122909248 is 842909221.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (122909243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241218 + ... + 241726.

Almost surely, 2^122909248 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 122909248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155448000).

122909248 is an abundant number, since it is smaller than the sum of its proper divisors (187986752).

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

122909248 is an equidigital number, since it uses as much as digits as its factorization.

122909248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 122909248 is about 11086.4443353133. Note that the first 3 decimals coincide. The cubic root of 122909248 is about 497.1966424139.

The spelling of 122909248 in words is "one hundred twenty-two million, nine hundred nine thousand, two hundred forty-eight".