122713576243456 has 243 divisors, whose sum is σ = 272132454824503. Its totient is φ = 55186024284160.

The previous prime is 122713576243441. The next prime is 122713576243463. The reversal of 122713576243456 is 654342675317221.

The square root of 122713576243456 is 11077616.

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

It can be written as a sum of positive squares in 4 ways, for example, as 101026299801856 + 21687276441600 = 10051184^2 + 4656960^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122713576243456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 220311626730 + ... + 220311627286.

Almost surely, 2^{122713576243456} is an apocalyptic number.

122713576243456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

122713576243456 is the 11077616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122713576243456

122713576243456 is an abundant number, since it is smaller than the sum of its proper divisors (149418878581047).

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

122713576243456 is an frugal number, since it uses more digits than its factorization.

122713576243456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 683 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 58.

The spelling of 122713576243456 in words is "one hundred twenty-two trillion, seven hundred thirteen billion, five hundred seventy-six million, two hundred forty-three thousand, four hundred fifty-six".