122577001668 has 72 divisors (see below), whose sum is σ = 348919124736. Its totient is φ = 35946331200.

The previous prime is 122577001663. The next prime is 122577001681. The reversal of 122577001668 is 866100775221.

122577001668 is a `hidden beast` number, since 1 + 2 + 2 + 577 + 0 + 0 + 16 + 68 = 666.

122577001668 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (122577001661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4980271 + ... + 5004822.

Almost surely, 2^122577001668 is an apocalyptic number.

122577001668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122577001668 is an abundant number, since it is smaller than the sum of its proper divisors (226342123068).

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

122577001668 is a wasteful number, since it uses less digits than its factorization.

122577001668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9985145 (or 9985140 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

Adding to 122577001668 its reverse (866100775221), we get a palindrome (988677776889).

The spelling of 122577001668 in words is "one hundred twenty-two billion, five hundred seventy-seven million, one thousand, six hundred sixty-eight".