20011011120 has 480 divisors, whose sum is σ = 72145382400. Its totient is φ = 5152315392.

The previous prime is 20011011113. The next prime is 20011011121. The reversal of 20011011120 is 2111011002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (20011011121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83727961 + ... + 83728199.

It is an arithmetic number, because the mean of its divisors is an integer number (150302880).

Almost surely, 2^20011011120 is an apocalyptic number.

20011011120 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 20011011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36072691200).

20011011120 is an abundant number, since it is smaller than the sum of its proper divisors (52134371280).

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

20011011120 is a wasteful number, since it uses less digits than its factorization.

20011011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20011011120 its reverse (2111011002), we get a palindrome (22122022122).

The spelling of 20011011120 in words is "twenty billion, eleven million, eleven thousand, one hundred twenty".