122728820 has 12 divisors (see below), whose sum is σ = 257730564. Its totient is φ = 49091520.

The previous prime is 122728813. The next prime is 122728843. The reversal of 122728820 is 28827221.

It can be written as a sum of positive squares in 2 ways, for example, as 93934864 + 28793956 = 9692^2 + 5366^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3068201 + ... + 3068240.

It is an arithmetic number, because the mean of its divisors is an integer number (21477547).

Almost surely, 2^122728820 is an apocalyptic number.

122728820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122728820 is an abundant number, since it is smaller than the sum of its proper divisors (135001744).

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

122728820 is a wasteful number, since it uses less digits than its factorization.

122728820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6136450 (or 6136448 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 122728820 is about 11078.3040218257. The cubic root of 122728820 is about 496.9532321210.

The spelling of 122728820 in words is "one hundred twenty-two million, seven hundred twenty-eight thousand, eight hundred twenty".