122738323968 has 270 divisors, whose sum is σ = 384544322019. Its totient is φ = 37670510592.

The previous prime is 122738323951. The next prime is 122738323969. The reversal of 122738323968 is 869323837221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

122738323968 is a `hidden beast` number, since 1 + 2 + 27 + 383 + 239 + 6 + 8 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 35566942464 + 87171381504 = 188592^2 + 295248^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247728.

It is not an unprimeable number, because it can be changed into a prime (122738323969) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 309164346 + ... + 309164742.

Almost surely, 2^122738323968 is an apocalyptic number.

122738323968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122738323968

122738323968 is an abundant number, since it is smaller than the sum of its proper divisors (261805998051).

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

122738323968 is an frugal number, since it uses more digits than its factorization.

122738323968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 415 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 122738323968 in words is "one hundred twenty-two billion, seven hundred thirty-eight million, three hundred twenty-three thousand, nine hundred sixty-eight".