122761728 has 60 divisors (see below), whose sum is σ = 354311958. Its totient is φ = 40919040.

The previous prime is 122761711. The next prime is 122761729. The reversal of 122761728 is 827167221.

122761728 is a `hidden beast` number, since 12 + 2 + 7 + 617 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 120824064 + 1937664 = 10992^2 + 1392^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 122761692 and 122761701.

It is not an unprimeable number, because it can be changed into a prime (122761729) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8713 + ... + 17928.

Almost surely, 2^122761728 is an apocalyptic number.

122761728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122761728 is an abundant number, since it is smaller than the sum of its proper divisors (231550230).

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

122761728 is an equidigital number, since it uses as much as digits as its factorization.

122761728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26665 (or 26646 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 122761728 is about 11079.7891676692. The cubic root of 122761728 is about 496.9976451489.

The spelling of 122761728 in words is "one hundred twenty-two million, seven hundred sixty-one thousand, seven hundred twenty-eight".