512120034426 has 192 divisors, whose sum is σ = 1408366987776. Its totient is φ = 122031100800.

The previous prime is 512120034359. The next prime is 512120034443. The reversal of 512120034426 is 624430021215.

It is a junction number, because it is equal to n+sod(n) for n = 512120034393 and 512120034402.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6815481 + ... + 6890211.

It is an arithmetic number, because the mean of its divisors is an integer number (7335244728).

Almost surely, 2^512120034426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512120034426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704183493888).

512120034426 is an abundant number, since it is smaller than the sum of its proper divisors (896246953350).

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

512120034426 is a wasteful number, since it uses less digits than its factorization.

512120034426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74937 (or 74930 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 512120034426 in words is "five hundred twelve billion, one hundred twenty million, thirty-four thousand, four hundred twenty-six".