122673026448 has 300 divisors, whose sum is σ = 415200365580. Its totient is φ = 34864349184.

The previous prime is 122673026447. The next prime is 122673026449. The reversal of 122673026448 is 844620376221.

It is a happy number.

122673026448 is a `hidden beast` number, since 122 + 67 + 3 + 0 + 26 + 448 = 666.

122673026448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (122673026447) and next prime (122673026449).

It can be written as a sum of positive squares in 2 ways, for example, as 88273163664 + 34399862784 = 297108^2 + 185472^2 .

It is not an unprimeable number, because it can be changed into a prime (122673026447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12251268 + ... + 12261276.

Almost surely, 2^122673026448 is an apocalyptic number.

122673026448 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 122673026448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207600182790).

122673026448 is an abundant number, since it is smaller than the sum of its proper divisors (292527339132).

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

122673026448 is a wasteful number, since it uses less digits than its factorization.

122673026448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10236 (or 10214 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 122673026448 in words is "one hundred twenty-two billion, six hundred seventy-three million, twenty-six thousand, four hundred forty-eight".