122456448 has 192 divisors, whose sum is σ = 380190720. Its totient is φ = 39191040.

The previous prime is 122456443. The next prime is 122456449. The reversal of 122456448 is 844654221.

122456448 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 5 + 644 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122456443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 964161 + ... + 964287.

It is an arithmetic number, because the mean of its divisors is an integer number (1980160).

Almost surely, 2^122456448 is an apocalyptic number.

122456448 is a gapful number since it is divisible by the number (18) 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 122456448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190095360).

122456448 is an abundant number, since it is smaller than the sum of its proper divisors (257734272).

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

122456448 is an equidigital number, since it uses as much as digits as its factorization.

122456448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 163 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 122456448 is about 11066.0041568761. The cubic root of 122456448 is about 496.5853304841.

The spelling of 122456448 in words is "one hundred twenty-two million, four hundred fifty-six thousand, four hundred forty-eight".