32201001120 has 192 divisors, whose sum is σ = 103346772480. Its totient is φ = 8425497600.

The previous prime is 32201001109. The next prime is 32201001149. The reversal of 32201001120 is 2110010223.

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 = 32201001096 and 32201001105.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27498135 + ... + 27499305.

It is an arithmetic number, because the mean of its divisors is an integer number (538264440).

Almost surely, 2^32201001120 is an apocalyptic number.

32201001120 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 32201001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51673386240).

32201001120 is an abundant number, since it is smaller than the sum of its proper divisors (71145771360).

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

32201001120 is a wasteful number, since it uses less digits than its factorization.

32201001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2211 counting only the distinct ones).

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

Adding to 32201001120 its reverse (2110010223), we get a palindrome (34311011343).

The spelling of 32201001120 in words is "thirty-two billion, two hundred one million, one thousand, one hundred twenty".