3121321132000 has 192 divisors, whose sum is σ = 7803362810880. Its totient is φ = 1226691648000.

The previous prime is 3121321131967. The next prime is 3121321132081. The reversal of 3121321132000 is 2311231213.

It is a super-2 number, since 2×3121321132000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 828594117 + ... + 828597883.

It is an arithmetic number, because the mean of its divisors is an integer number (40642514640).

Almost surely, 2^{3121321132000} 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 3121321132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901681405440).

3121321132000 is an abundant number, since it is smaller than the sum of its proper divisors (4682041678880).

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

3121321132000 is a wasteful number, since it uses less digits than its factorization.

3121321132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7362 (or 7344 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 3121321132000 its reverse (2311231213), we get a palindrome (3123632363213).

The spelling of 3121321132000 in words is "three trillion, one hundred twenty-one billion, three hundred twenty-one million, one hundred thirty-two thousand".