32012223120 has 120 divisors (see below), whose sum is σ = 107827547256. Its totient is φ = 8511197184.

The previous prime is 32012223109. The next prime is 32012223163. The reversal of 32012223120 is 2132221023.

32012223120 is a `hidden beast` number, since 320 + 1 + 2 + 223 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1522872576 + 30489350544 = 39024^2 + 174612^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 32012223093 and 32012223102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176674 + ... + 308606.

Almost surely, 2^32012223120 is an apocalyptic number.

32012223120 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 32012223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53913773628).

32012223120 is an abundant number, since it is smaller than the sum of its proper divisors (75815324136).

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

32012223120 is a wasteful number, since it uses less digits than its factorization.

32012223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132289 (or 132280 counting only the distinct ones).

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

Adding to 32012223120 its reverse (2132221023), we get a palindrome (34144444143).

The spelling of 32012223120 in words is "thirty-two billion, twelve million, two hundred twenty-three thousand, one hundred twenty".