2011231424120 has 128 divisors (see below), whose sum is σ = 4866388761600. Its totient is φ = 745690176000.

The previous prime is 2011231424087. The next prime is 2011231424129. The reversal of 2011231424120 is 214241321102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011231424129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137550410 + ... + 137565030.

It is an arithmetic number, because the mean of its divisors is an integer number (38018662200).

Almost surely, 2^{2011231424120} is an apocalyptic number.

2011231424120 is a gapful number since it is divisible by the number (20) 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 2011231424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433194380800).

2011231424120 is an abundant number, since it is smaller than the sum of its proper divisors (2855157337480).

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

2011231424120 is a wasteful number, since it uses less digits than its factorization.

2011231424120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18549 (or 18545 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 2011231424120 its reverse (214241321102), we get a palindrome (2225472745222).

The spelling of 2011231424120 in words is "two trillion, eleven billion, two hundred thirty-one million, four hundred twenty-four thousand, one hundred twenty".