32120041320 has 192 divisors, whose sum is σ = 110093256000. Its totient is φ = 8420018688.

The previous prime is 32120041313. The next prime is 32120041321. The reversal of 32120041320 is 2314002123.

32120041320 is a `hidden beast` number, since 32 + 1 + 200 + 413 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32120041293 and 32120041302.

It is not an unprimeable number, because it can be changed into a prime (32120041321) 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 47 ways as a sum of consecutive naturals, for example, 545476 + ... + 601484.

It is an arithmetic number, because the mean of its divisors is an integer number (573402375).

Almost surely, 2^32120041320 is an apocalyptic number.

32120041320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32120041320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55046628000).

32120041320 is an abundant number, since it is smaller than the sum of its proper divisors (77973214680).

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

32120041320 is a wasteful number, since it uses less digits than its factorization.

32120041320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56094 (or 56078 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 32120041320 its reverse (2314002123), we get a palindrome (34434043443).

The spelling of 32120041320 in words is "thirty-two billion, one hundred twenty million, forty-one thousand, three hundred twenty".