212515515212 has 288 divisors, whose sum is σ = 520323589632. Its totient is φ = 73912608000.

The previous prime is 212515515211. The next prime is 212515515239.

212515515212 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212515515211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2104113962 + ... + 2104114062.

Almost surely, 2^212515515212 is an apocalyptic number.

212515515212 is a gapful number since it is divisible by the number (22) 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 212515515212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260161794816).

212515515212 is an abundant number, since it is smaller than the sum of its proper divisors (307808074420).

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

212515515212 is a wasteful number, since it uses less digits than its factorization.

212515515212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 177 counting only the distinct ones).

The product of its digits is 10000, while the sum is 32.

It can be divided in two parts, 212515 and 515212, that added together give a palindrome (727727).

The spelling of 212515515212 in words is "two hundred twelve billion, five hundred fifteen million, five hundred fifteen thousand, two hundred twelve".