32201223120 has 240 divisors, whose sum is σ = 118171257984. Its totient is φ = 7793280000.

The previous prime is 32201223107. The next prime is 32201223143. The reversal of 32201223120 is 2132210223.

32201223120 is a `hidden beast` number, since 322 + 0 + 1 + 223 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 32201223093 and 32201223102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5232045 + ... + 5238195.

Almost surely, 2^32201223120 is an apocalyptic number.

32201223120 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 32201223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59085628992).

32201223120 is an abundant number, since it is smaller than the sum of its proper divisors (85970034864).

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

32201223120 is a wasteful number, since it uses less digits than its factorization.

32201223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6842 (or 6833 counting only the distinct ones).

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

Adding to 32201223120 its reverse (2132210223), we get a palindrome (34333433343).

The spelling of 32201223120 in words is "thirty-two billion, two hundred one million, two hundred twenty-three thousand, one hundred twenty".