2012100411420 has 480 divisors, whose sum is σ = 6970580971200. Its totient is φ = 485828513280.

The previous prime is 2012100411413. The next prime is 2012100411421. The reversal of 2012100411420 is 241140012102.

2012100411420 is a `hidden beast` number, since 2 + 0 + 1 + 210 + 0 + 411 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2012100411393 and 2012100411402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012100411421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 580021446 + ... + 580024914.

It is an arithmetic number, because the mean of its divisors is an integer number (14522043690).

Almost surely, 2^{2012100411420} is an apocalyptic number.

2012100411420 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 2012100411420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485290485600).

2012100411420 is an abundant number, since it is smaller than the sum of its proper divisors (4958480559780).

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

2012100411420 is a wasteful number, since it uses less digits than its factorization.

2012100411420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2012100411420 its reverse (241140012102), we get a palindrome (2253240423522).

The spelling of 2012100411420 in words is "two trillion, twelve billion, one hundred million, four hundred eleven thousand, four hundred twenty".