505212112032 has 96 divisors (see below), whose sum is σ = 1331518777344. Its totient is φ = 167726899200.

The previous prime is 505212112007. The next prime is 505212112043. The reversal of 505212112032 is 230211212505.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 505212111993 and 505212112011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107011432 + ... + 107016152.

It is an arithmetic number, because the mean of its divisors is an integer number (13869987264).

Almost surely, 2^505212112032 is an apocalyptic number.

It is an amenable number.

505212112032 is an abundant number, since it is smaller than the sum of its proper divisors (826306665312).

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

505212112032 is a wasteful number, since it uses less digits than its factorization.

505212112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8982 (or 8974 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 505212112032 its reverse (230211212505), we get a palindrome (735423324537).

It can be divided in two parts, 5052121 and 12032, that added together give a triangular number (5064153 = T₃₁₈₂).

The spelling of 505212112032 in words is "five hundred five billion, two hundred twelve million, one hundred twelve thousand, thirty-two".