212102520 has 128 divisors (see below), whose sum is σ = 752371200. Its totient is φ = 46803456.

The previous prime is 212102519. The next prime is 212102563. The reversal of 212102520 is 25201212.

212102520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 212102520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20007 + ... + 28713.

It is an arithmetic number, because the mean of its divisors is an integer number (5877900).

Almost surely, 2^212102520 is an apocalyptic number.

212102520 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 212102520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376185600).

212102520 is an abundant number, since it is smaller than the sum of its proper divisors (540268680).

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

212102520 is a wasteful number, since it uses less digits than its factorization.

212102520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8757 (or 8753 counting only the distinct ones).

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

The square root of 212102520 is about 14563.7399042966. The cubic root of 212102520 is about 596.3692965241.

Adding to 212102520 its reverse (25201212), we get a palindrome (237303732).

The spelling of 212102520 in words is "two hundred twelve million, one hundred two thousand, five hundred twenty".