20111120040 has 128 divisors (see below), whose sum is σ = 66260592000. Its totient is φ = 4842654720.

The previous prime is 20111120039. The next prime is 20111120053. The reversal of 20111120040 is 4002111102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20111119998 and 20111120025.

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 31 ways as a sum of consecutive naturals, for example, 145554 + ... + 247806.

It is an arithmetic number, because the mean of its divisors is an integer number (517660875).

Almost surely, 2^20111120040 is an apocalyptic number.

20111120040 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 20111120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33130296000).

20111120040 is an abundant number, since it is smaller than the sum of its proper divisors (46149471960).

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

20111120040 is a wasteful number, since it uses less digits than its factorization.

20111120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102427 (or 102423 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20111120040 its reverse (4002111102), we get a palindrome (24113231142).

The spelling of 20111120040 in words is "twenty billion, one hundred eleven million, one hundred twenty thousand, forty".