32041113120 has 144 divisors (see below), whose sum is σ = 115772169240. Its totient is φ = 8041684992.

The previous prime is 32041113017. The next prime is 32041113121. The reversal of 32041113120 is 2131114023.

It can be written as a sum of positive squares in 4 ways, for example, as 23773939344 + 8267173776 = 154188^2 + 90924^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×32041113120² (a number of 22 digits) contains 22 as substring.

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 = 32041113093 and 32041113102.

It is not an unprimeable number, because it can be changed into a prime (32041113121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 629955 + ... + 678914.

Almost surely, 2^32041113120 is an apocalyptic number.

32041113120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32041113120 is an abundant number, since it is smaller than the sum of its proper divisors (83731056120).

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

32041113120 is a wasteful number, since it uses less digits than its factorization.

32041113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308907 (or 1308896 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 32041113120 its reverse (2131114023), we get a palindrome (34172227143).

It can be divided in two parts, 32041 and 113120, that added together give a square (145161 = 381²).

The spelling of 32041113120 in words is "thirty-two billion, forty-one million, one hundred thirteen thousand, one hundred twenty".