1211121101120 has 112 divisors (see below), whose sum is σ = 3310126829568. Its totient is φ = 413459189760.

The previous prime is 1211121101119. The next prime is 1211121101213. The reversal of 1211121101120 is 211011211121.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1211121101095 and 1211121101104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638336 + ... + 1682175.

Almost surely, 2^{1211121101120} is an apocalyptic number.

1211121101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211121101120 is an abundant number, since it is smaller than the sum of its proper divisors (2099005728448).

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

1211121101120 is a wasteful number, since it uses less digits than its factorization.

1211121101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320768 (or 2320758 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1211121101120 its reverse (211011211121), we get a palindrome (1422132312241).

The spelling of 1211121101120 in words is "one trillion, two hundred eleven billion, one hundred twenty-one million, one hundred one thousand, one hundred twenty".