34531221312 has 84 divisors (see below), whose sum is σ = 113117168736. Its totient is φ = 9866062080.

The previous prime is 34531221311. The next prime is 34531221343. The reversal of 34531221312 is 21312213543.

34531221312 is a `hidden beast` number, since 34 + 5 + 312 + 2 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34531221311) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4278114 + ... + 4286177.

Almost surely, 2^34531221312 is an apocalyptic number.

34531221312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34531221312 is an abundant number, since it is smaller than the sum of its proper divisors (78585947424).

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

34531221312 is a wasteful number, since it uses less digits than its factorization.

34531221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8564316 (or 8564303 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

Adding to 34531221312 its reverse (21312213543), we get a palindrome (55843434855).

The spelling of 34531221312 in words is "thirty-four billion, five hundred thirty-one million, two hundred twenty-one thousand, three hundred twelve".