20011111120 has 320 divisors, whose sum is σ = 62759983104. Its totient is φ = 5730600960.

The previous prime is 20011111051. The next prime is 20011111129. The reversal of 20011111120 is 2111111002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20011111097 and 20011111106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011111129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22662199 + ... + 22663081.

Almost surely, 2^20011111120 is an apocalyptic number.

20011111120 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 20011111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31379991552).

20011111120 is an abundant number, since it is smaller than the sum of its proper divisors (42748871984).

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

20011111120 is a wasteful number, since it uses less digits than its factorization.

20011111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 20011111120 its reverse (2111111002), we get a palindrome (22122222122).

It can be divided in two parts, 20011 and 111120, that added together give a palindrome (131131).

The spelling of 20011111120 in words is "twenty billion, eleven million, one hundred eleven thousand, one hundred twenty".