212262515712 has 352 divisors, whose sum is σ = 716816822400. Its totient is φ = 61467918336.

The previous prime is 212262515711. The next prime is 212262515723. The reversal of 212262515712 is 217515262212.

212262515712 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 625 + 15 + 7 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212262515711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6092839 + ... + 6127577.

Almost surely, 2^212262515712 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 212262515712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358408411200).

212262515712 is an abundant number, since it is smaller than the sum of its proper divisors (504554306688).

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

212262515712 is a wasteful number, since it uses less digits than its factorization.

212262515712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34798 (or 34774 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

Adding to 212262515712 its reverse (217515262212), we get a palindrome (429777777924).

The spelling of 212262515712 in words is "two hundred twelve billion, two hundred sixty-two million, five hundred fifteen thousand, seven hundred twelve".