122768261 has 16 divisors (see below), whose sum is σ = 155165568. Its totient is φ = 94348800.

The previous prime is 122768251. The next prime is 122768263. The reversal of 122768261 is 162867221.

It is a de Polignac number, because none of the positive numbers 2^k-122768261 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122768263) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5300 + ... + 16541.

It is an arithmetic number, because the mean of its divisors is an integer number (9697848).

Almost surely, 2^122768261 is an apocalyptic number.

122768261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122768261 is a deficient number, since it is larger than the sum of its proper divisors (32397307).

122768261 is a wasteful number, since it uses less digits than its factorization.

122768261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21932.

The product of its digits is 16128, while the sum is 35.

The square root of 122768261 is about 11080.0839798261. The cubic root of 122768261 is about 497.0064612190.

The spelling of 122768261 in words is "one hundred twenty-two million, seven hundred sixty-eight thousand, two hundred sixty-one".