20111134320 has 240 divisors, whose sum is σ = 68630732352. Its totient is φ = 5277081600.

The previous prime is 20111134301. The next prime is 20111134331. The reversal of 20111134320 is 2343111102.

20111134320 is a `hidden beast` number, since 201 + 11 + 134 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 20111134293 and 20111134302.

It is a congruent number.

It is an unprimeable number.

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, 12284542 + ... + 12286178.

Almost surely, 2^20111134320 is an apocalyptic number.

20111134320 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 20111134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34315366176).

20111134320 is an abundant number, since it is smaller than the sum of its proper divisors (48519598032).

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

20111134320 is a wasteful number, since it uses less digits than its factorization.

20111134320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20111134320 its reverse (2343111102), we get a palindrome (22454245422).

The spelling of 20111134320 in words is "twenty billion, one hundred eleven million, one hundred thirty-four thousand, three hundred twenty".