212557251312 has 180 divisors, whose sum is σ = 710689110456. Its totient is φ = 59089201920.

The previous prime is 212557251311. The next prime is 212557251353. The reversal of 212557251312 is 213152755212.

212557251312 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 572 + 51 + 31 + 2 = 666.

212557251312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (212557251311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 146014 + ... + 668157.

Almost surely, 2^212557251312 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 212557251312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355344555228).

212557251312 is an abundant number, since it is smaller than the sum of its proper divisors (498131859144).

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

212557251312 is a wasteful number, since it uses less digits than its factorization.

212557251312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814236 (or 814220 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The spelling of 212557251312 in words is "two hundred twelve billion, five hundred fifty-seven million, two hundred fifty-one thousand, three hundred twelve".