122736511052406 has 24 divisors (see below), whose sum is σ = 267690227201904. Its totient is φ = 40641228824400.

The previous prime is 122736511052383. The next prime is 122736511052471. The reversal of 122736511052406 is 604250115637221.

122736511052406 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 3 + 6 + 5 + 110 + 524 + 0 + 6 = 666.

It is a super-2 number, since 2×122736511052406² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

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 11 ways as a sum of consecutive naturals, for example, 22578457741 + ... + 22578463176.

It is an arithmetic number, because the mean of its divisors is an integer number (11153759466746).

Almost surely, 2^{122736511052406} is an apocalyptic number.

122736511052406 is an abundant number, since it is smaller than the sum of its proper divisors (144953716149498).

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

122736511052406 is a wasteful number, since it uses less digits than its factorization.

122736511052406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45156921076 (or 45156921073 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

Adding to 122736511052406 its reverse (604250115637221), we get a palindrome (726986626689627).

The spelling of 122736511052406 in words is "one hundred twenty-two trillion, seven hundred thirty-six billion, five hundred eleven million, fifty-two thousand, four hundred six".