32001342120 has 192 divisors, whose sum is σ = 114896620800. Its totient is φ = 7659624960.

The previous prime is 32001342119. The next prime is 32001342127. The reversal of 32001342120 is 2124310023.

32001342120 is a `hidden beast` number, since 3 + 200 + 1 + 342 + 120 = 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 = 32001342093 and 32001342102.

It is not an unprimeable number, because it can be changed into a prime (32001342127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261694 + ... + 363986.

It is an arithmetic number, because the mean of its divisors is an integer number (598419900).

Almost surely, 2^32001342120 is an apocalyptic number.

32001342120 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 32001342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57448310400).

32001342120 is an abundant number, since it is smaller than the sum of its proper divisors (82895278680).

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

32001342120 is a wasteful number, since it uses less digits than its factorization.

32001342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102400 (or 102393 counting only the distinct ones).

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

Adding to 32001342120 its reverse (2124310023), we get a palindrome (34125652143).

The spelling of 32001342120 in words is "thirty-two billion, one million, three hundred forty-two thousand, one hundred twenty".