330134412102000 has 160 divisors (see below), whose sum is σ = 1161112739814144. Its totient is φ = 80032584736000.

The previous prime is 330134412101929. The next prime is 330134412102049. The reversal of 330134412102000 is 201214431033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2500952274 + ... + 2501084273.

Almost surely, 2^{330134412102000} is an apocalyptic number.

330134412102000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330134412102000 is an abundant number, since it is smaller than the sum of its proper divisors (830978327712144).

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

330134412102000 is a wasteful number, since it uses less digits than its factorization.

330134412102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002036584 (or 5002036568 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 330134412102000 its reverse (201214431033), we get a palindrome (330335626533033).

The spelling of 330134412102000 in words is "three hundred thirty trillion, one hundred thirty-four billion, four hundred twelve million, one hundred two thousand".