12330212160 has 448 divisors, whose sum is σ = 46503604224. Its totient is φ = 2709504000.

The previous prime is 12330212143. The next prime is 12330212179. The reversal of 12330212160 is 6121203321.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×12330212160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20515860 + ... + 20516460.

It is an arithmetic number, because the mean of its divisors is an integer number (103802688).

Almost surely, 2^12330212160 is an apocalyptic number.

12330212160 is a gapful number since it is divisible by the number (10) 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 12330212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23251802112).

12330212160 is an abundant number, since it is smaller than the sum of its proper divisors (34173392064).

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

12330212160 is a wasteful number, since it uses less digits than its factorization.

12330212160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12330212160 its reverse (6121203321), we get a palindrome (18451415481).

The spelling of 12330212160 in words is "twelve billion, three hundred thirty million, two hundred twelve thousand, one hundred sixty".