330122133000000 has 2352 divisors, whose sum is σ = 1385435426199552. Its totient is φ = 74262528000000.

The previous prime is 330122132999987. The next prime is 330122133000019. The reversal of 330122133000000 is 331221033.

330122133000000 is a `hidden beast` number, since 330 + 1 + 2 + 2 + 1 + 330 + 0 + 0 + 0 + 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 335 ways as a sum of consecutive naturals, for example, 122858998657 + ... + 122859001343.

Almost surely, 2^{330122133000000} is an apocalyptic number.

330122133000000 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 330122133000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692717713099776).

330122133000000 is an abundant number, since it is smaller than the sum of its proper divisors (1055313293199552).

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

330122133000000 is a wasteful number, since it uses less digits than its factorization.

330122133000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 330122133000000 its reverse (331221033), we get a palindrome (330122464221033).

The spelling of 330122133000000 in words is "three hundred thirty trillion, one hundred twenty-two billion, one hundred thirty-three million", and thus it is an aban number.