12000213330000 has 1600 divisors, whose sum is σ = 47086079631360. Its totient is φ = 2575411200000.

The previous prime is 12000213329939. The next prime is 12000213330011. The reversal of 12000213330000 is 3331200021.

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

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 319 ways as a sum of consecutive naturals, for example, 44281229865 + ... + 44281230135.

Almost surely, 2^{12000213330000} is an apocalyptic number.

12000213330000 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 12000213330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23543039815680).

12000213330000 is an abundant number, since it is smaller than the sum of its proper divisors (35085866301360).

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

12000213330000 is a wasteful number, since it uses less digits than its factorization.

12000213330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 505 counting only the distinct ones).

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

Adding to 12000213330000 its reverse (3331200021), we get a palindrome (12003544530021).

The spelling of 12000213330000 in words is "twelve trillion, two hundred thirteen million, three hundred thirty thousand".