3312012100000 has 288 divisors, whose sum is σ = 8433585216000. Its totient is φ = 1278940800000.

The previous prime is 3312012099961. The next prime is 3312012100013. The reversal of 3312012100000 is 12102133.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1577898951 + ... + 1577901049.

It is an arithmetic number, because the mean of its divisors is an integer number (29283282000).

Almost surely, 2^{3312012100000} 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 3312012100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216792608000).

3312012100000 is an abundant number, since it is smaller than the sum of its proper divisors (5121573116000).

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

3312012100000 is an equidigital number, since it uses as much as digits as its factorization.

3312012100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674 (or 2646 counting only the distinct ones).

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

Adding to 3312012100000 its reverse (12102133), we get a palindrome (3312024202133).

The spelling of 3312012100000 in words is "three trillion, three hundred twelve billion, twelve million, one hundred thousand".