3213121000 has 64 divisors (see below), whose sum is σ = 7531626960. Its totient is φ = 1283040000.

The previous prime is 3213120961. The next prime is 3213121001. The reversal of 3213121000 is 1213123.

It can be written as a sum of positive squares in 8 ways, for example, as 982070244 + 2231050756 = 31338^2 + 47234^2 .

It is not an unprimeable number, because it can be changed into a prime (3213121001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 658570 + ... + 663430.

Almost surely, 2^3213121000 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 3213121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765813480).

3213121000 is an abundant number, since it is smaller than the sum of its proper divisors (4318505960).

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

3213121000 is a wasteful number, since it uses less digits than its factorization.

3213121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5543 (or 5529 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 3213121000 is about 56684.3982062084. The cubic root of 3213121000 is about 1475.6239436299.

Adding to 3213121000 its reverse (1213123), we get a palindrome (3214334123).

The spelling of 3213121000 in words is "three billion, two hundred thirteen million, one hundred twenty-one thousand".