71211032121312 has 36 divisors (see below), whose sum is σ = 202506372595800. Its totient is φ = 23737010707008.

The previous prime is 71211032121283. The next prime is 71211032121347. The reversal of 71211032121312 is 21312123011217.

71211032121312 is a `hidden beast` number, since 7 + 1 + 2 + 1 + 1 + 0 + 321 + 21 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×71211032121312³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 123630263812 + ... + 123630264387.

It is an arithmetic number, because the mean of its divisors is an integer number (5625177016550).

Almost surely, 2^{71211032121312} is an apocalyptic number.

71211032121312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

71211032121312 is an abundant number, since it is smaller than the sum of its proper divisors (131295340474488).

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

71211032121312 is a wasteful number, since it uses less digits than its factorization.

71211032121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247260528215 (or 247260528204 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 71211032121312 its reverse (21312123011217), we get a palindrome (92523155132529).

The spelling of 71211032121312 in words is "seventy-one trillion, two hundred eleven billion, thirty-two million, one hundred twenty-one thousand, three hundred twelve".