33020001312012 has 384 divisors, whose sum is σ = 101458280448000. Its totient is φ = 9209941678080.

The previous prime is 33020001312007. The next prime is 33020001312031. The reversal of 33020001312012 is 21021310002033.

33020001312012 is a `hidden beast` number, since 330 + 2 + 0 + 0 + 0 + 131 + 201 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 921324789 + ... + 921360627.

It is an arithmetic number, because the mean of its divisors is an integer number (264214272000).

Almost surely, 2^{33020001312012} 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 33020001312012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50729140224000).

33020001312012 is an abundant number, since it is smaller than the sum of its proper divisors (68438279135988).

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

33020001312012 is a wasteful number, since it uses less digits than its factorization.

33020001312012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36255 (or 36221 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 33020001312012 its reverse (21021310002033), we get a palindrome (54041311314045).

The spelling of 33020001312012 in words is "thirty-three trillion, twenty billion, one million, three hundred twelve thousand, twelve".