3211232131120 has 160 divisors (see below), whose sum is σ = 8127636048000. Its totient is φ = 1172895178752.

The previous prime is 3211232131097. The next prime is 3211232131123. The reversal of 3211232131120 is 211312321123.

3211232131120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3211232131091 and 3211232131100.

It is not an unprimeable number, because it can be changed into a prime (3211232131123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35759236 + ... + 35848924.

It is an arithmetic number, because the mean of its divisors is an integer number (50797725300).

Almost surely, 2^{3211232131120} 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 3211232131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063818024000).

3211232131120 is an abundant number, since it is smaller than the sum of its proper divisors (4916403916880).

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

3211232131120 is a wasteful number, since it uses less digits than its factorization.

3211232131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90087 (or 90081 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 3211232131120 its reverse (211312321123), we get a palindrome (3422544452243).

The spelling of 3211232131120 in words is "three trillion, two hundred eleven billion, two hundred thirty-two million, one hundred thirty-one thousand, one hundred twenty".