122786328 has 128 divisors (see below), whose sum is σ = 375091200. Its totient is φ = 32731776.

The previous prime is 122786317. The next prime is 122786333. The reversal of 122786328 is 823687221.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 165783 + ... + 166521.

It is an arithmetic number, because the mean of its divisors is an integer number (2930400).

Almost surely, 2^122786328 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 122786328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187545600).

122786328 is an abundant number, since it is smaller than the sum of its proper divisors (252304872).

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

122786328 is a wasteful number, since it uses less digits than its factorization.

122786328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 817 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 122786328 is about 11080.8992414876. The cubic root of 122786328 is about 497.0308404172.

The spelling of 122786328 in words is "one hundred twenty-two million, seven hundred eighty-six thousand, three hundred twenty-eight".