330011122000 has 160 divisors (see below), whose sum is σ = 913196194560. Its totient is φ = 112993574400.

The previous prime is 330011121977. The next prime is 330011122009. The reversal of 330011122000 is 221110033.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330011122009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10582431 + ... + 10613569.

It is an arithmetic number, because the mean of its divisors is an integer number (5707476216).

Almost surely, 2^330011122000 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 330011122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456598097280).

330011122000 is an abundant number, since it is smaller than the sum of its proper divisors (583185072560).

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

330011122000 is a wasteful number, since it uses less digits than its factorization.

330011122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31926 (or 31910 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 330011122000 its reverse (221110033), we get a palindrome (330232232033).

The spelling of 330011122000 in words is "three hundred thirty billion, eleven million, one hundred twenty-two thousand".