212931741312 has 96 divisors (see below), whose sum is σ = 613092582180. Its totient is φ = 70935625728.

The previous prime is 212931741311. The next prime is 212931741313. The reversal of 212931741312 is 213147139212.

212931741312 is a `hidden beast` number, since 2 + 1 + 29 + 317 + 4 + 1 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (212931741311) and next prime (212931741313).

It can be written as a sum of positive squares in 2 ways, for example, as 201012342336 + 11919398976 = 448344^2 + 109176^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (212931741311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1943088 + ... + 2049744.

Almost surely, 2^212931741312 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 212931741312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306546291090).

212931741312 is an abundant number, since it is smaller than the sum of its proper divisors (400160840868).

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

212931741312 is a wasteful number, since it uses less digits than its factorization.

212931741312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108410 (or 108395 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The spelling of 212931741312 in words is "two hundred twelve billion, nine hundred thirty-one million, seven hundred forty-one thousand, three hundred twelve".