12011211011100 has 288 divisors, whose sum is σ = 41464276116480. Its totient is φ = 2624762511360.

The previous prime is 12011211010969. The next prime is 12011211011101. The reversal of 12011211011100 is 111011211021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011211011101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99872604 + ... + 99992796.

It is an arithmetic number, because the mean of its divisors is an integer number (143973180960).

Almost surely, 2^{12011211011100} is an apocalyptic number.

12011211011100 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 12011211011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20732138058240).

12011211011100 is an abundant number, since it is smaller than the sum of its proper divisors (29453065105380).

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

12011211011100 is a wasteful number, since it uses less digits than its factorization.

12011211011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122309 (or 122302 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 12011211011100 its reverse (111011211021), we get a palindrome (12122222222121).

The spelling of 12011211011100 in words is "twelve trillion, eleven billion, two hundred eleven million, eleven thousand, one hundred".