32211013120 has 480 divisors, whose sum is σ = 96460388640. Its totient is φ = 10218700800.

The previous prime is 32211013103. The next prime is 32211013127. The reversal of 32211013120 is 2131011223.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 32211013094 and 32211013103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32211013127) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 76510510 + ... + 76510930.

It is an arithmetic number, because the mean of its divisors is an integer number (200959143).

Almost surely, 2^32211013120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32211013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48230194320).

32211013120 is an abundant number, since it is smaller than the sum of its proper divisors (64249375520).

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

32211013120 is a wasteful number, since it uses less digits than its factorization.

32211013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 32211013120 its reverse (2131011223), we get a palindrome (34342024343).

The spelling of 32211013120 in words is "thirty-two billion, two hundred eleven million, thirteen thousand, one hundred twenty".