32200135104112 has 160 divisors (see below), whose sum is σ = 66681151776000. Its totient is φ = 15020056719360.

The previous prime is 32200135104107. The next prime is 32200135104119. The reversal of 32200135104112 is 21140153100223.

It is a super-3 number, since 3×32200135104112³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32200135104119) 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 31 ways as a sum of consecutive naturals, for example, 12722296287 + ... + 12722298817.

It is an arithmetic number, because the mean of its divisors is an integer number (416757198600).

Almost surely, 2^{32200135104112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32200135104112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33340575888000).

32200135104112 is an abundant number, since it is smaller than the sum of its proper divisors (34481016671888).

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

32200135104112 is a wasteful number, since it uses less digits than its factorization.

32200135104112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4919 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 32200135104112 its reverse (21140153100223), we get a palindrome (53340288204335).

The spelling of 32200135104112 in words is "thirty-two trillion, two hundred billion, one hundred thirty-five million, one hundred four thousand, one hundred twelve".