330130330120032 has 96 divisors (see below), whose sum is σ = 933397336861920. Its totient is φ = 101562858270720.

The previous prime is 330130330120021. The next prime is 330130330120147. The reversal of 330130330120032 is 230021033031033.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×330130330120032² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 330130330119984 and 330130330120011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12372469 + ... + 28519092.

It is an arithmetic number, because the mean of its divisors is an integer number (9722888925645).

Almost surely, 2^{330130330120032} is an apocalyptic number.

330130330120032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

330130330120032 is an abundant number, since it is smaller than the sum of its proper divisors (603267006741888).

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

330130330120032 is a wasteful number, since it uses less digits than its factorization.

330130330120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40898056 (or 40898048 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 330130330120032 its reverse (230021033031033), we get a palindrome (560151363151065).

The spelling of 330130330120032 in words is "three hundred thirty trillion, one hundred thirty billion, three hundred thirty million, one hundred twenty thousand, thirty-two".