212071302144 has 693 divisors, whose sum is σ = 705463212639. Its totient is φ = 63661178880.

The previous prime is 212071302137. The next prime is 212071302151. The reversal of 212071302144 is 441203170212.

The square root of 212071302144 is 460512.

It is a perfect power (a square), and thus also a powerful number.

212071302144 is a `hidden beast` number, since 212 + 0 + 7 + 1 + 302 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (212071302137) and next prime (212071302151).

It can be written as a sum of positive squares in 4 ways, for example, as 141255705600 + 70815596544 = 375840^2 + 266112^2 .

It is a super-3 number, since 3×212071302144³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 5172470764 + ... + 5172470804.

Almost surely, 2^212071302144 is an apocalyptic number.

212071302144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

212071302144 is the 460512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212071302144

212071302144 is an abundant number, since it is smaller than the sum of its proper divisors (493391910495).

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

212071302144 is an frugal number, since it uses more digits than its factorization.

212071302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 212071302144 its reverse (441203170212), we get a palindrome (653274472356).

The spelling of 212071302144 in words is "two hundred twelve billion, seventy-one million, three hundred two thousand, one hundred forty-four".