3121132221000 has 768 divisors, whose sum is σ = 11728735200000. Its totient is φ = 744971673600.

The previous prime is 3121132220897. The next prime is 3121132221007. The reversal of 3121132221000 is 1222311213.

3121132221000 is a `hidden beast` number, since 31 + 211 + 322 + 2 + 100 + 0 = 666.

3121132221000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3121132221007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 297273751 + ... + 297284249.

It is an arithmetic number, because the mean of its divisors is an integer number (15271790625).

Almost surely, 2^{3121132221000} is an apocalyptic number.

3121132221000 is a gapful number since it is divisible by the number (30) 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 3121132221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5864367600000).

3121132221000 is an abundant number, since it is smaller than the sum of its proper divisors (8607602979000).

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

3121132221000 is a wasteful number, since it uses less digits than its factorization.

3121132221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10639 (or 10622 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3121132221000 its reverse (1222311213), we get a palindrome (3122354532213).

The spelling of 3121132221000 in words is "three trillion, one hundred twenty-one billion, one hundred thirty-two million, two hundred twenty-one thousand".