11021120001120 has 96 divisors (see below), whose sum is σ = 34759442118240. Its totient is φ = 2935332392960.

The previous prime is 11021120001107. The next prime is 11021120001121. The reversal of 11021120001120 is 2110002112011.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 11021120001096 and 11021120001105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11021120001121) 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 15 ways as a sum of consecutive naturals, for example, 13802451 + ... + 14579090.

It is an arithmetic number, because the mean of its divisors is an integer number (362077522065).

Almost surely, 2^{11021120001120} is an apocalyptic number.

11021120001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11021120001120 is an abundant number, since it is smaller than the sum of its proper divisors (23738322117120).

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

11021120001120 is a wasteful number, since it uses less digits than its factorization.

11021120001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28382368 (or 28382360 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11021120001120 its reverse (2110002112011), we get a palindrome (13131122113131).

The spelling of 11021120001120 in words is "eleven trillion, twenty-one billion, one hundred twenty million, one thousand, one hundred twenty".