32101414120 has 64 divisors (see below), whose sum is σ = 74079230400. Its totient is φ = 12512248320.

The previous prime is 32101414087. The next prime is 32101414129. The reversal of 32101414120 is 2141410123.

It is not an unprimeable number, because it can be changed into a prime (32101414129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1397367 + ... + 1420153.

It is an arithmetic number, because the mean of its divisors is an integer number (1157487975).

Almost surely, 2^32101414120 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 32101414120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37039615200).

32101414120 is an abundant number, since it is smaller than the sum of its proper divisors (41977816280).

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

32101414120 is a wasteful number, since it uses less digits than its factorization.

32101414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23698 (or 23694 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 32101414120 its reverse (2141410123), we get a palindrome (34242824243).

The spelling of 32101414120 in words is "thirty-two billion, one hundred one million, four hundred fourteen thousand, one hundred twenty".