122679265536 has 81 divisors (see below), whose sum is σ = 353763047001. Its totient is φ = 40887484416.

The previous prime is 122679265447. The next prime is 122679265537. The reversal of 122679265536 is 635562976221.

It is a happy number.

The square root of 122679265536 is 350256.

It is a perfect power (a square), and thus also a powerful number.

122679265536 is a `hidden beast` number, since 1 + 2 + 2 + 67 + 9 + 26 + 553 + 6 = 666.

122679265536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 41713977600 + 80965287936 = 204240^2 + 284544^2 .

It is not an unprimeable number, because it can be changed into a prime (122679265537) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16808640 + ... + 16815936.

Almost surely, 2^122679265536 is an apocalyptic number.

122679265536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

122679265536 is the 350256-th square number.

It is an amenable number.

122679265536 is an abundant number, since it is smaller than the sum of its proper divisors (231083781465).

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

122679265536 is an frugal number, since it uses more digits than its factorization.

122679265536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14616 (or 7302 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 122679265536 in words is "one hundred twenty-two billion, six hundred seventy-nine million, two hundred sixty-five thousand, five hundred thirty-six".