122263456 has 96 divisors (see below), whose sum is σ = 295166592. Its totient is φ = 48660480.

The previous prime is 122263451. The next prime is 122263457. The reversal of 122263456 is 654362221.

It is not an unprimeable number, because it can be changed into a prime (122263451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369211 + ... + 369541.

It is an arithmetic number, because the mean of its divisors is an integer number (3074652).

Almost surely, 2^122263456 is an apocalyptic number.

122263456 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 122263456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147583296).

122263456 is an abundant number, since it is smaller than the sum of its proper divisors (172903136).

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

122263456 is a wasteful number, since it uses less digits than its factorization.

122263456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 454 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

The square root of 122263456 is about 11057.2806783585. The cubic root of 122263456 is about 496.3243196286.

The spelling of 122263456 in words is "one hundred twenty-two million, two hundred sixty-three thousand, four hundred fifty-six".