122834035728 has 60 divisors (see below), whose sum is σ = 345509775468. Its totient is φ = 40736828160.

The previous prime is 122834035663. The next prime is 122834035747. The reversal of 122834035728 is 827530438221.

122834035728 is a `hidden beast` number, since 12 + 28 + 3 + 40 + 3 + 572 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81320788224 + 41513247504 = 285168^2 + 203748^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2136643 + ... + 2193378.

Almost surely, 2^122834035728 is an apocalyptic number.

122834035728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122834035728 is an abundant number, since it is smaller than the sum of its proper divisors (222675739740).

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

122834035728 is a wasteful number, since it uses less digits than its factorization.

122834035728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4330232 (or 4330223 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 122834035728 in words is "one hundred twenty-two billion, eight hundred thirty-four million, thirty-five thousand, seven hundred twenty-eight".