3301021122000 has 240 divisors, whose sum is σ = 12380042930112. Its totient is φ = 754519046400.

The previous prime is 3301021121933. The next prime is 3301021122011. The reversal of 3301021122000 is 2211201033.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5319982 + ... + 5907981.

Almost surely, 2^{3301021122000} is an apocalyptic number.

3301021122000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3301021122000 is an abundant number, since it is smaller than the sum of its proper divisors (9079021808112).

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

3301021122000 is a wasteful number, since it uses less digits than its factorization.

3301021122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11228003 (or 11227980 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 3301021122000 its reverse (2211201033), we get a palindrome (3303232323033).

The spelling of 3301021122000 in words is "three trillion, three hundred one billion, twenty-one million, one hundred twenty-two thousand".