20111142420 has 144 divisors (see below), whose sum is σ = 64684751040. Its totient is φ = 5043506688.

The previous prime is 20111142419. The next prime is 20111142421. The reversal of 20111142420 is 2424111102.

20111142420 is a `hidden beast` number, since 201 + 1 + 1 + 1 + 42 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (20111142419) and next prime (20111142421).

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 = 20111142393 and 20111142402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111142421) 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 47 ways as a sum of consecutive naturals, for example, 447079 + ... + 490001.

It is an arithmetic number, because the mean of its divisors is an integer number (449199660).

Almost surely, 2^20111142420 is an apocalyptic number.

20111142420 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 20111142420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32342375520).

20111142420 is an abundant number, since it is smaller than the sum of its proper divisors (44573608620).

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

20111142420 is a wasteful number, since it uses less digits than its factorization.

20111142420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43094 (or 43089 counting only the distinct ones).

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

Adding to 20111142420 its reverse (2424111102), we get a palindrome (22535253522).

The spelling of 20111142420 in words is "twenty billion, one hundred eleven million, one hundred forty-two thousand, four hundred twenty".