122643456 has 176 divisors, whose sum is σ = 365905344. Its totient is φ = 36274176.

The previous prime is 122643413. The next prime is 122643467. The reversal of 122643456 is 654346221.

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 15 ways as a sum of consecutive naturals, for example, 1477591 + ... + 1477673.

Almost surely, 2^122643456 is an apocalyptic number.

122643456 is a gapful number since it is divisible by the number (16) 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 122643456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182952672).

122643456 is an abundant number, since it is smaller than the sum of its proper divisors (243261888).

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

122643456 is a wasteful number, since it uses less digits than its factorization.

122643456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 138 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 122643456 is about 11074.4505958535. The cubic root of 122643456 is about 496.8379868319.

Adding to 122643456 its reverse (654346221), we get a palindrome (776989677).

The spelling of 122643456 in words is "one hundred twenty-two million, six hundred forty-three thousand, four hundred fifty-six".