3213210000000 has 2048 divisors, whose sum is σ = 14458462986240. Its totient is φ = 610560000000.

The previous prime is 3213209999999. The next prime is 3213210000001. The reversal of 3213210000000 is 123123.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3213209999999) and next prime (3213210000001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3213210000001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30029999947 + ... + 30030000053.

It is an arithmetic number, because the mean of its divisors is an integer number (7059796380).

Almost surely, 2^{3213210000000} is an apocalyptic number.

3213210000000 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 3213210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7229231493120).

3213210000000 is an abundant number, since it is smaller than the sum of its proper divisors (11245252986240).

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

3213210000000 is an equidigital number, since it uses as much as digits as its factorization.

3213210000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 3213210000000 its reverse (123123), we get a palindrome (3213210123123).

The spelling of 3213210000000 in words is "three trillion, two hundred thirteen billion, two hundred ten million", and thus it is an aban number.