32101200120 has 128 divisors (see below), whose sum is σ = 105166563840. Its totient is φ = 7774103040.

The previous prime is 32101200097. The next prime is 32101200133. The reversal of 32101200120 is 2100210123.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 32101200096 and 32101200105.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1325157 + ... + 1349163.

It is an arithmetic number, because the mean of its divisors is an integer number (821613780).

Almost surely, 2^32101200120 is an apocalyptic number.

32101200120 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 32101200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52583281920).

32101200120 is an abundant number, since it is smaller than the sum of its proper divisors (73065363720).

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

32101200120 is a wasteful number, since it uses less digits than its factorization.

32101200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25045 (or 25041 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 32101200120 its reverse (2100210123), we get a palindrome (34201410243).

It can be divided in two parts, 32101 and 200120, that added together give a triangular number (232221 = T₆₈₁).

The spelling of 32101200120 in words is "thirty-two billion, one hundred one million, two hundred thousand, one hundred twenty".