122777007677313 has 32 divisors (see below), whose sum is σ = 178864546398720. Its totient is φ = 74293738928640.

The previous prime is 122777007677279. The next prime is 122777007677353. The reversal of 122777007677313 is 313776700777221.

It is not a de Polignac number, because 122777007677313 - 2⁶ = 122777007677249 is a prime.

It is a super-2 number, since 2×122777007677313² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122777007677353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282703470 + ... + 283137432.

It is an arithmetic number, because the mean of its divisors is an integer number (5589517074960).

Almost surely, 2^{122777007677313} is an apocalyptic number.

It is an amenable number.

122777007677313 is a deficient number, since it is larger than the sum of its proper divisors (56087538721407).

122777007677313 is a wasteful number, since it uses less digits than its factorization.

122777007677313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447389.

The product of its (nonzero) digits is 25412184, while the sum is 60.

The spelling of 122777007677313 in words is "one hundred twenty-two trillion, seven hundred seventy-seven billion, seven million, six hundred seventy-seven thousand, three hundred thirteen".