3211102041312 has 192 divisors, whose sum is σ = 9332411687424. Its totient is φ = 958668963840.

The previous prime is 3211102041241. The next prime is 3211102041317. The reversal of 3211102041312 is 2131402011123.

It is a super-2 number, since 2×3211102041312² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3211102041317) 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, 19847208 + ... + 20008344.

It is an arithmetic number, because the mean of its divisors is an integer number (48606310872).

Almost surely, 2^{3211102041312} is an apocalyptic number.

3211102041312 is a gapful number since it is divisible by the number (32) 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 3211102041312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666205843712).

3211102041312 is an abundant number, since it is smaller than the sum of its proper divisors (6121309646112).

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

3211102041312 is a wasteful number, since it uses less digits than its factorization.

3211102041312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161441 (or 161433 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 3211102041312 its reverse (2131402011123), we get a palindrome (5342504052435).

The spelling of 3211102041312 in words is "three trillion, two hundred eleven billion, one hundred two million, forty-one thousand, three hundred twelve".