505121100123332 has 144 divisors (see below), whose sum is σ = 1170563190991488. Its totient is φ = 188239310138880.

The previous prime is 505121100123331. The next prime is 505121100123397. The reversal of 505121100123332 is 233321001121505.

It is a super-2 number, since 2×505121100123332² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 505121100123295 and 505121100123304.

It is not an unprimeable number, because it can be changed into a prime (505121100123331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2581304678 + ... + 2581500354.

It is an arithmetic number, because the mean of its divisors is an integer number (8128911048552).

Almost surely, 2^{505121100123332} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505121100123332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585281595495744).

505121100123332 is an abundant number, since it is smaller than the sum of its proper divisors (665442090868156).

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

505121100123332 is a wasteful number, since it uses less digits than its factorization.

505121100123332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247786 (or 247777 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

Adding to 505121100123332 its reverse (233321001121505), we get a palindrome (738442101244837).

The spelling of 505121100123332 in words is "five hundred five trillion, one hundred twenty-one billion, one hundred million, one hundred twenty-three thousand, three hundred thirty-two".