3301311222000 has 1280 divisors, whose sum is σ = 13512635136000. Its totient is φ = 763080192000.

The previous prime is 3301311221947. The next prime is 3301311222017. The reversal of 3301311222000 is 2221131033.

3301311222000 is a `hidden beast` number, since 330 + 1 + 3 + 112 + 220 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1429756846 + ... + 1429759154.

It is an arithmetic number, because the mean of its divisors is an integer number (10556746200).

Almost surely, 2^{3301311222000} is an apocalyptic number.

3301311222000 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 3301311222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6756317568000).

3301311222000 is an abundant number, since it is smaller than the sum of its proper divisors (10211323914000).

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

3301311222000 is a wasteful number, since it uses less digits than its factorization.

3301311222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 2442 counting only the distinct ones).

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

Adding to 3301311222000 its reverse (2221131033), we get a palindrome (3303532353033).

The spelling of 3301311222000 in words is "three trillion, three hundred one billion, three hundred eleven million, two hundred twenty-two thousand".