122728086 has 48 divisors (see below), whose sum is σ = 289371264. Its totient is φ = 37366272.

The previous prime is 122728061. The next prime is 122728097. The reversal of 122728086 is 680827221.

122728086 = 2119² + 2120² + ... + 2145².

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 122728086.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19995 + ... + 25401.

It is an arithmetic number, because the mean of its divisors is an integer number (6028568).

Almost surely, 2^122728086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122728086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144685632).

122728086 is an abundant number, since it is smaller than the sum of its proper divisors (166643178).

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

122728086 is a wasteful number, since it uses less digits than its factorization.

122728086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5525 (or 5522 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 122728086 is about 11078.2708939617. The cubic root of 122728086 is about 496.9522414154.

The spelling of 122728086 in words is "one hundred twenty-two million, seven hundred twenty-eight thousand, eighty-six".