11011300120020 has 96 divisors (see below), whose sum is σ = 32456178276480. Its totient is φ = 2781646133760.

The previous prime is 11011300120003. The next prime is 11011300120057. The reversal of 11011300120020 is 2002100311011.

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 = 11011300119978 and 11011300120005.

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 31 ways as a sum of consecutive naturals, for example, 20783934 + ... + 21307146.

It is an arithmetic number, because the mean of its divisors is an integer number (338085190380).

Almost surely, 2^{11011300120020} is an apocalyptic number.

11011300120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011300120020 is an abundant number, since it is smaller than the sum of its proper divisors (21444878156460).

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

11011300120020 is a wasteful number, since it uses less digits than its factorization.

11011300120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541705 (or 541703 counting only the distinct ones).

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

Adding to 11011300120020 its reverse (2002100311011), we get a palindrome (13013400431031).

The spelling of 11011300120020 in words is "eleven trillion, eleven billion, three hundred million, one hundred twenty thousand, twenty".