3312012000000 has 756 divisors, whose sum is σ = 12116373502184. Its totient is φ = 802560000000.

The previous prime is 3312011999987. The next prime is 3312012000019. The reversal of 3312012000000 is 2102133.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3312012000000.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1451998860 + ... + 1452001140.

Almost surely, 2^{3312012000000} is an apocalyptic number.

3312012000000 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 3312012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6058186751092).

3312012000000 is an abundant number, since it is smaller than the sum of its proper divisors (8804361502184).

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

3312012000000 is an frugal number, since it uses more digits than its factorization.

3312012000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 2302 counting only the distinct ones).

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

Adding to 3312012000000 its reverse (2102133), we get a palindrome (3312014102133).

The spelling of 3312012000000 in words is "three trillion, three hundred twelve billion, twelve million", and thus it is an aban number.