32122142431314 has 192 divisors, whose sum is σ = 73826167322880. Its totient is φ = 9293324451840.

The previous prime is 32122142431307. The next prime is 32122142431319. The reversal of 32122142431314 is 41313424122123.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (32122142431319) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2687364762 + ... + 2687376714.

It is an arithmetic number, because the mean of its divisors is an integer number (384511288140).

Almost surely, 2^{32122142431314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32122142431314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36913083661440).

32122142431314 is an abundant number, since it is smaller than the sum of its proper divisors (41704024891566).

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

32122142431314 is a wasteful number, since it uses less digits than its factorization.

32122142431314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13957 (or 13944 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

Adding to 32122142431314 its reverse (41313424122123), we get a palindrome (73435566553437).

The spelling of 32122142431314 in words is "thirty-two trillion, one hundred twenty-two billion, one hundred forty-two million, four hundred thirty-one thousand, three hundred fourteen".