212619318912 has 768 divisors, whose sum is σ = 839175966720. Its totient is φ = 49880309760.

The previous prime is 212619318893. The next prime is 212619318913. The reversal of 212619318912 is 219813916212.

212619318912 is a `hidden beast` number, since 2 + 1 + 2 + 619 + 3 + 18 + 9 + 12 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (212619318913) 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 95 ways as a sum of consecutive naturals, for example, 54196183 + ... + 54200105.

It is an arithmetic number, because the mean of its divisors is an integer number (1092677040).

Almost surely, 2^212619318912 is an apocalyptic number.

212619318912 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 212619318912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419587983360).

212619318912 is an abundant number, since it is smaller than the sum of its proper divisors (626556647808).

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

212619318912 is a wasteful number, since it uses less digits than its factorization.

212619318912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4021 (or 4006 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The spelling of 212619318912 in words is "two hundred twelve billion, six hundred nineteen million, three hundred eighteen thousand, nine hundred twelve".