12011001201100 has 72 divisors (see below), whose sum is σ = 28435714122816. Its totient is φ = 4367268360000.

The previous prime is 12011001201077. The next prime is 12011001201149. The reversal of 12011001201100 is 110210011021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12757555 + ... + 13666645.

It is an arithmetic number, because the mean of its divisors is an integer number (394940473928).

Almost surely, 2^{12011001201100} is an apocalyptic number.

12011001201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011001201100 is an abundant number, since it is smaller than the sum of its proper divisors (16424712921716).

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

12011001201100 is a wasteful number, since it uses less digits than its factorization.

12011001201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921127 (or 921120 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12011001201100 its reverse (110210011021), we get a palindrome (12121211212121).

The spelling of 12011001201100 in words is "twelve trillion, eleven billion, one million, two hundred one thousand, one hundred".