3211223201120 has 192 divisors, whose sum is σ = 8427272519232. Its totient is φ = 1156148224000.

The previous prime is 3211223201077. The next prime is 3211223201171. The reversal of 3211223201120 is 211023221123.

It is a super-2 number, since 2×3211223201120² (a number of 26 digits) contains 22 as substring.

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 = 3211223201092 and 3211223201101.

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 31 ways as a sum of consecutive naturals, for example, 21434312 + ... + 21583608.

It is an arithmetic number, because the mean of its divisors is an integer number (43892044371).

Almost surely, 2^{3211223201120} 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 3211223201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4213636259616).

3211223201120 is an abundant number, since it is smaller than the sum of its proper divisors (5216049318112).

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

3211223201120 is a wasteful number, since it uses less digits than its factorization.

3211223201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149446 (or 149416 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 3211223201120 its reverse (211023221123), we get a palindrome (3422246422243).

It can be divided in two parts, 32112 and 23201120, that added together give a palindrome (23233232).

The spelling of 3211223201120 in words is "three trillion, two hundred eleven billion, two hundred twenty-three million, two hundred one thousand, one hundred twenty".