34431232122 has 96 divisors (see below), whose sum is σ = 86580554112. Its totient is φ = 9685412352.

The previous prime is 34431232091. The next prime is 34431232141. The reversal of 34431232122 is 22123213443.

34431232122 is a `hidden beast` number, since 3 + 4 + 4 + 312 + 321 + 22 = 666.

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 47 ways as a sum of consecutive naturals, for example, 5672133 + ... + 5678199.

It is an arithmetic number, because the mean of its divisors is an integer number (901880772).

Almost surely, 2^34431232122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34431232122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43290277056).

34431232122 is an abundant number, since it is smaller than the sum of its proper divisors (52149321990).

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

34431232122 is a wasteful number, since it uses less digits than its factorization.

34431232122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6772 (or 6769 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 34431232122 its reverse (22123213443), we get a palindrome (56554445565).

The spelling of 34431232122 in words is "thirty-four billion, four hundred thirty-one million, two hundred thirty-two thousand, one hundred twenty-two".