330132001012000 has 192 divisors, whose sum is σ = 885138583754880. Its totient is φ = 120012079488000.

The previous prime is 330132001011979. The next prime is 330132001012103. The reversal of 330132001012000 is 210100231033.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146147146 + ... + 148388854.

It is an arithmetic number, because the mean of its divisors is an integer number (4610096790390).

Almost surely, 2^{330132001012000} 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 330132001012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442569291877440).

330132001012000 is an abundant number, since it is smaller than the sum of its proper divisors (555006582742880).

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

330132001012000 is a wasteful number, since it uses less digits than its factorization.

330132001012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245092 (or 2245074 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 330132001012000 its reverse (210100231033), we get a palindrome (330342101243033).

The spelling of 330132001012000 in words is "three hundred thirty trillion, one hundred thirty-two billion, one million, twelve thousand".