11121201112120 has 64 divisors (see below), whose sum is σ = 27298505485440. Its totient is φ = 4043923228800.

The previous prime is 11121201112081. The next prime is 11121201112169. The reversal of 11121201112120 is 2121110212111.

It is a super-2 number, since 2×11121201112120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11121201112094 and 11121201112103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11778775 + ... + 12687865.

It is an arithmetic number, because the mean of its divisors is an integer number (426539148210).

Almost surely, 2^{11121201112120} is an apocalyptic number.

11121201112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121201112120 is an abundant number, since it is smaller than the sum of its proper divisors (16177304373320).

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

11121201112120 is a wasteful number, since it uses less digits than its factorization.

11121201112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936916 (or 936912 counting only the distinct ones).

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

Adding to 11121201112120 its reverse (2121110212111), we get a palindrome (13242311324231).

Subtracting from 11121201112120 its reverse (2121110212111), we obtain a palindrome (9000090900009).

The spelling of 11121201112120 in words is "eleven trillion, one hundred twenty-one billion, two hundred one million, one hundred twelve thousand, one hundred twenty".