122406757663608 has 384 divisors, whose sum is σ = 399695304453120. Its totient is φ = 33383459450880.

The previous prime is 122406757663499. The next prime is 122406757663639. The reversal of 122406757663608 is 806366757604221.

It is a happy number.

122406757663608 is a `hidden beast` number, since 1 + 2 + 24 + 0 + 6 + 7 + 576 + 6 + 36 + 0 + 8 = 666.

122406757663608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1101447741 + ... + 1101558867.

It is an arithmetic number, because the mean of its divisors is an integer number (1040873188680).

Almost surely, 2^{122406757663608} is an apocalyptic number.

122406757663608 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 122406757663608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199847652226560).

122406757663608 is an abundant number, since it is smaller than the sum of its proper divisors (277288546789512).

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

122406757663608 is a wasteful number, since it uses less digits than its factorization.

122406757663608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114747 (or 114740 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 122406757663608 in words is "one hundred twenty-two trillion, four hundred six billion, seven hundred fifty-seven million, six hundred sixty-three thousand, six hundred eight".