12011200110000 has 1800 divisors, whose sum is σ = 53404836856800. Its totient is φ = 2464929792000.

The previous prime is 12011200109999. The next prime is 12011200110029. The reversal of 12011200110000 is 1100211021.

It is a happy number.

12011200110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3939388476 + ... + 3939391524.

Almost surely, 2^{12011200110000} is an apocalyptic number.

12011200110000 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 12011200110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26702418428400).

12011200110000 is an abundant number, since it is smaller than the sum of its proper divisors (41393636746800).

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

12011200110000 is a wasteful number, since it uses less digits than its factorization.

12011200110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12011200110000 its reverse (1100211021), we get a palindrome (12012300321021).

The spelling of 12011200110000 in words is "twelve trillion, eleven billion, two hundred million, one hundred ten thousand".