512122035040 has 192 divisors, whose sum is σ = 1508902940160. Its totient is φ = 159572643840.

The previous prime is 512122034987. The next prime is 512122035049. The reversal of 512122035040 is 40530221215.

It is a junction number, because it is equal to n+sod(n) for n = 512122034996 and 512122035014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512122035049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71193684 + ... + 71200876.

It is an arithmetic number, because the mean of its divisors is an integer number (7858869480).

Almost surely, 2^512122035040 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 512122035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754451470080).

512122035040 is an abundant number, since it is smaller than the sum of its proper divisors (996780905120).

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

512122035040 is a wasteful number, since it uses less digits than its factorization.

512122035040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13005 (or 12997 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 512122035040 its reverse (40530221215), we get a palindrome (552652256255).

The spelling of 512122035040 in words is "five hundred twelve billion, one hundred twenty-two million, thirty-five thousand, forty".