1121101111120 has 20 divisors (see below), whose sum is σ = 2606560083540. Its totient is φ = 448440444416.

The previous prime is 1121101111049. The next prime is 1121101111127. The reversal of 1121101111120 is 211111011211.

It can be written as a sum of positive squares in 2 ways, for example, as 810352838416 + 310748272704 = 900196^2 + 557448^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 1121101111120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121101111127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7006881865 + ... + 7006882024.

It is an arithmetic number, because the mean of its divisors is an integer number (130328004177).

Almost surely, 2^{1121101111120} is an apocalyptic number.

1121101111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121101111120 is an abundant number, since it is smaller than the sum of its proper divisors (1485458972420).

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

1121101111120 is a wasteful number, since it uses less digits than its factorization.

1121101111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14013763902 (or 14013763896 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 1121101111120 its reverse (211111011211), we get a palindrome (1332212122331).

Subtracting from 1121101111120 its reverse (211111011211), we obtain a palindrome (909990099909).

The spelling of 1121101111120 in words is "one trillion, one hundred twenty-one billion, one hundred one million, one hundred eleven thousand, one hundred twenty".