3300123220002 has 128 divisors (see below), whose sum is σ = 8740823777280. Its totient is φ = 903069181440.

The previous prime is 3300123219979. The next prime is 3300123220013. The reversal of 3300123220002 is 2000223210033.

It is a happy number.

3300123220002 is a `hidden beast` number, since 330 + 0 + 12 + 322 + 0 + 0 + 0 + 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315048 + ... + 2588339.

It is an arithmetic number, because the mean of its divisors is an integer number (68287685760).

Almost surely, 2^{3300123220002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3300123220002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4370411888640).

3300123220002 is an abundant number, since it is smaller than the sum of its proper divisors (5440700557278).

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

3300123220002 is a wasteful number, since it uses less digits than its factorization.

3300123220002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903533 (or 2903527 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 3300123220002 its reverse (2000223210033), we get a palindrome (5300346430035).

The spelling of 3300123220002 in words is "three trillion, three hundred billion, one hundred twenty-three million, two hundred twenty thousand, two".