12002322011200 has 168 divisors, whose sum is σ = 30559127070600. Its totient is φ = 4634237583360.

The previous prime is 12002322011191. The next prime is 12002322011203. The reversal of 12002322011200 is 211022320021.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2192697562176 + 9809624449024 = 1480776^2 + 3132032^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12002322011203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202135116 + ... + 202194484.

Almost surely, 2^{12002322011200} is an apocalyptic number.

12002322011200 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 12002322011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15279563535300).

12002322011200 is an abundant number, since it is smaller than the sum of its proper divisors (18556805059400).

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

12002322011200 is a wasteful number, since it uses less digits than its factorization.

12002322011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63777 (or 63762 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12002322011200 its reverse (211022320021), we get a palindrome (12213344331221).

The spelling of 12002322011200 in words is "twelve trillion, two billion, three hundred twenty-two million, eleven thousand, two hundred".