12011022311100 has 144 divisors (see below), whose sum is σ = 35327983551840. Its totient is φ = 3149862220800.

The previous prime is 12011022311047. The next prime is 12011022311129. The reversal of 12011022311100 is 111322011021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12011022311100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106321446 + ... + 106434354.

It is an arithmetic number, because the mean of its divisors is an integer number (245333219110).

Almost surely, 2^{12011022311100} is an apocalyptic number.

12011022311100 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 12011022311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17663991775920).

12011022311100 is an abundant number, since it is smaller than the sum of its proper divisors (23316961240740).

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

12011022311100 is a wasteful number, since it uses less digits than its factorization.

12011022311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118800 (or 118793 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12011022311100 its reverse (111322011021), we get a palindrome (12122344322121).

The spelling of 12011022311100 in words is "twelve trillion, eleven billion, twenty-two million, three hundred eleven thousand, one hundred".