32434003003122 has 320 divisors, whose sum is σ = 91298024294400. Its totient is φ = 8391286886400.

The previous prime is 32434003003109. The next prime is 32434003003229. The reversal of 32434003003122 is 22130030043423.

32434003003122 is a `hidden beast` number, since 3 + 2 + 4 + 3 + 40 + 0 + 300 + 312 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 698217997 + ... + 698264447.

It is an arithmetic number, because the mean of its divisors is an integer number (285306325920).

Almost surely, 2^{32434003003122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32434003003122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45649012147200).

32434003003122 is an abundant number, since it is smaller than the sum of its proper divisors (58864021291278).

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

32434003003122 is a wasteful number, since it uses less digits than its factorization.

32434003003122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47923 (or 47914 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 32434003003122 its reverse (22130030043423), we get a palindrome (54564033046545).

The spelling of 32434003003122 in words is "thirty-two trillion, four hundred thirty-four billion, three million, three thousand, one hundred twenty-two".