12011310000 has 300 divisors, whose sum is σ = 43152524272. Its totient is φ = 3115584000.

The previous prime is 12011309977. The next prime is 12011310001. The reversal of 12011310000 is 1311021.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×12011310000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12011310001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3328197 + ... + 3331803.

Almost surely, 2^12011310000 is an apocalyptic number.

12011310000 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 12011310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21576262136).

12011310000 is an abundant number, since it is smaller than the sum of its proper divisors (31141214272).

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

12011310000 is a wasteful number, since it uses less digits than its factorization.

12011310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 12011310000 its reverse (1311021), we get a palindrome (12012621021).

The spelling of 12011310000 in words is "twelve billion, eleven million, three hundred ten thousand".