212024512 has 56 divisors (see below), whose sum is σ = 482392736. Its totient is φ = 90574848.

The previous prime is 212024509. The next prime is 212024513. The reversal of 212024512 is 215420212.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 212024512.

It is not an unprimeable number, because it can be changed into a prime (212024513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193438 + ... + 194530.

It is an arithmetic number, because the mean of its divisors is an integer number (8614156).

Almost surely, 2^212024512 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 212024512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241196368).

212024512 is an abundant number, since it is smaller than the sum of its proper divisors (270368224).

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

212024512 is a wasteful number, since it uses less digits than its factorization.

212024512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 212024512 is about 14561.0614997671. The cubic root of 212024512 is about 596.2961757827.

Adding to 212024512 its reverse (215420212), we get a palindrome (427444724).

The spelling of 212024512 in words is "two hundred twelve million, twenty-four thousand, five hundred twelve".