212012520 has 64 divisors (see below), whose sum is σ = 638763840. Its totient is φ = 56294400.

The previous prime is 212012519. The next prime is 212012527. The reversal of 212012520 is 25210212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212012520.

It is not an unprimeable number, because it can be changed into a prime (212012527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25255 + ... + 32585.

It is an arithmetic number, because the mean of its divisors is an integer number (9980685).

Almost surely, 2^212012520 is an apocalyptic number.

212012520 is a gapful number since it is divisible by the number (20) 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 212012520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319381920).

212012520 is an abundant number, since it is smaller than the sum of its proper divisors (426751320).

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

212012520 is a wasteful number, since it uses less digits than its factorization.

212012520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7586 (or 7582 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 212012520 is about 14560.6497107787. The cubic root of 212012520 is about 596.2849334999.

Adding to 212012520 its reverse (25210212), we get a palindrome (237222732).

The spelling of 212012520 in words is "two hundred twelve million, twelve thousand, five hundred twenty".