3211131230120 has 256 divisors, whose sum is σ = 8445623397120. Its totient is φ = 1085891788800.

The previous prime is 3211131230089. The next prime is 3211131230123. The reversal of 3211131230120 is 210321311123.

It is a happy number.

It is a super-3 number, since 3×3211131230120³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3211131230092 and 3211131230101.

It is not an unprimeable number, because it can be changed into a prime (3211131230123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212551607 + ... + 212566713.

It is an arithmetic number, because the mean of its divisors is an integer number (32990716395).

Almost surely, 2^{3211131230120} 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 3211131230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222811698560).

3211131230120 is an abundant number, since it is smaller than the sum of its proper divisors (5234492167000).

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

3211131230120 is a wasteful number, since it uses less digits than its factorization.

3211131230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15484 (or 15480 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 3211131230120 its reverse (210321311123), we get a palindrome (3421452541243).

The spelling of 3211131230120 in words is "three trillion, two hundred eleven billion, one hundred thirty-one million, two hundred thirty thousand, one hundred twenty".