234201121102432 has 96 divisors (see below), whose sum is σ = 523517072375808. Its totient is φ = 103021020432000.

The previous prime is 234201121102427. The next prime is 234201121102439.

234201121102432 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 234201121102432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234201121102439) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 87368544 + ... + 90009247.

It is an arithmetic number, because the mean of its divisors is an integer number (5453302837248).

Almost surely, 2^{234201121102432} is an apocalyptic number.

234201121102432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

234201121102432 is an abundant number, since it is smaller than the sum of its proper divisors (289315951273376).

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

234201121102432 is a wasteful number, since it uses less digits than its factorization.

234201121102432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177377865 (or 177377835 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 234201121102432 in words is "two hundred thirty-four trillion, two hundred one billion, one hundred twenty-one million, one hundred two thousand, four hundred thirty-two".