12000213330 has 256 divisors, whose sum is σ = 35006791680. Its totient is φ = 2575411200.

The previous prime is 12000213299. The next prime is 12000213331. The reversal of 12000213330 is 3331200021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (12000213331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44281095 + ... + 44281365.

It is an arithmetic number, because the mean of its divisors is an integer number (136745280).

Almost surely, 2^12000213330 is an apocalyptic number.

12000213330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000213330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17503395840).

12000213330 is an abundant number, since it is smaller than the sum of its proper divisors (23006578350).

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

12000213330 is a wasteful number, since it uses less digits than its factorization.

12000213330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12000213330 its reverse (3331200021), we get a palindrome (15331413351).

The spelling of 12000213330 in words is "twelve billion, two hundred thirteen thousand, three hundred thirty".