505122032240000 has 1280 divisors, whose sum is σ = 1550642498064000. Its totient is φ = 159920947200000.

The previous prime is 505122032239973. The next prime is 505122032240029. The reversal of 505122032240000 is 42230221505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 108651757676 + ... + 108651762324.

Almost surely, 2^{505122032240000} is an apocalyptic number.

505122032240000 is a gapful number since it is divisible by the number (50) 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 505122032240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775321249032000).

505122032240000 is an abundant number, since it is smaller than the sum of its proper divisors (1045520465824000).

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

505122032240000 is a wasteful number, since it uses less digits than its factorization.

505122032240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4921 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 505122032240000 its reverse (42230221505), we get a palindrome (505164262461505).

The spelling of 505122032240000 in words is "five hundred five trillion, one hundred twenty-two billion, thirty-two million, two hundred forty thousand".