11121201331120 has 80 divisors (see below), whose sum is σ = 26282052573120. Its totient is φ = 4375325260800.

The previous prime is 11121201331063. The next prime is 11121201331127. The reversal of 11121201331120 is 2113310212111.

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

It is a super-2 number, since 2×11121201331120² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11121201331127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116247466 + ... + 116343094.

It is an arithmetic number, because the mean of its divisors is an integer number (328525657164).

Almost surely, 2^{11121201331120} is an apocalyptic number.

11121201331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121201331120 is an abundant number, since it is smaller than the sum of its proper divisors (15160851242000).

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

11121201331120 is a wasteful number, since it uses less digits than its factorization.

11121201331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119534 (or 119528 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 11121201331120 its reverse (2113310212111), we get a palindrome (13234511543231).

The spelling of 11121201331120 in words is "eleven trillion, one hundred twenty-one billion, two hundred one million, three hundred thirty-one thousand, one hundred twenty".