212462706727296 has 512 divisors, whose sum is σ = 634643067801600. Its totient is φ = 69970563072000.

The previous prime is 212462706727273. The next prime is 212462706727361. The reversal of 212462706727296 is 692727607264212.

212462706727296 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 6 + 270 + 6 + 7 + 272 + 96 = 666.

It is a super-2 number, since 2×212462706727296² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121199489556 + ... + 121199491308.

It is an arithmetic number, because the mean of its divisors is an integer number (1239537241800).

Almost surely, 2^{212462706727296} 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 212462706727296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317321533900800).

212462706727296 is an abundant number, since it is smaller than the sum of its proper divisors (422180361074304).

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

212462706727296 is a wasteful number, since it uses less digits than its factorization.

212462706727296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3055 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 212462706727296 in words is "two hundred twelve trillion, four hundred sixty-two billion, seven hundred six million, seven hundred twenty-seven thousand, two hundred ninety-six".