12011320301000 has 128 divisors (see below), whose sum is σ = 29789233025760. Its totient is φ = 4517438464000.

The previous prime is 12011320300981. The next prime is 12011320301009. The reversal of 12011320301000 is 10302311021.

It can be written as a sum of positive squares in 16 ways, for example, as 46210381156 + 11965109919844 = 214966^2 + 3459062^2 .

It is not an unprimeable number, because it can be changed into a prime (12011320301009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16872260 + ... + 17569740.

Almost surely, 2^{12011320301000} is an apocalyptic number.

12011320301000 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 12011320301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14894616512880).

12011320301000 is an abundant number, since it is smaller than the sum of its proper divisors (17777912724760).

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

12011320301000 is a wasteful number, since it uses less digits than its factorization.

12011320301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698532 (or 698518 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12011320301000 its reverse (10302311021), we get a palindrome (12021622612021).

The spelling of 12011320301000 in words is "twelve trillion, eleven billion, three hundred twenty million, three hundred one thousand".