12011122011120 has 80 divisors (see below), whose sum is σ = 37236604180992. Its totient is φ = 3202782992640.

The previous prime is 12011122011101. The next prime is 12011122011131. The reversal of 12011122011120 is 2111022111021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×12011122011120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12011122011120.

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, 2809605 + ... + 5649435.

Almost surely, 2^{12011122011120} is an apocalyptic number.

12011122011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011122011120 is an abundant number, since it is smaller than the sum of its proper divisors (25225482169872).

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

12011122011120 is a wasteful number, since it uses less digits than its factorization.

12011122011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857470 (or 2857464 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12011122011120 its reverse (2111022111021), we get a palindrome (14122144122141).

Subtracting from 12011122011120 its reverse (2111022111021), we obtain a palindrome (9900099900099).

The spelling of 12011122011120 in words is "twelve trillion, eleven billion, one hundred twenty-two million, eleven thousand, one hundred twenty".