234400034121012 has 36 divisors (see below), whose sum is σ = 627364797207876. Its totient is φ = 73537265606400.

The previous prime is 234400034121007. The next prime is 234400034121013. The reversal of 234400034121012 is 210121430004432.

234400034121012 is a `hidden beast` number, since 2 + 3 + 4 + 400 + 0 + 3 + 41 + 210 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100992128666256 + 133407905454756 = 10049484^2 + 11550234^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234400034121013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191503295239 + ... + 191503296462.

It is an arithmetic number, because the mean of its divisors is an integer number (17426799922441).

Almost surely, 2^{234400034121012} is an apocalyptic number.

It is an amenable number.

234400034121012 is an abundant number, since it is smaller than the sum of its proper divisors (392964763086864).

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

234400034121012 is a wasteful number, since it uses less digits than its factorization.

234400034121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383006591728 (or 383006591723 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 234400034121012 its reverse (210121430004432), we get a palindrome (444521464125444).

The spelling of 234400034121012 in words is "two hundred thirty-four trillion, four hundred billion, thirty-four million, one hundred twenty-one thousand, twelve".