121100112211120 has 80 divisors (see below), whose sum is σ = 326582989279488. Its totient is φ = 40900336392960.

The previous prime is 121100112211027. The next prime is 121100112211139. The reversal of 121100112211120 is 21112211001121.

121100112211120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 121100112211094 and 121100112211103.

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, 1613769946 + ... + 1613844985.

Almost surely, 2^{121100112211120} is an apocalyptic number.

121100112211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121100112211120 is an abundant number, since it is smaller than the sum of its proper divisors (205482877068368).

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

121100112211120 is a wasteful number, since it uses less digits than its factorization.

121100112211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227615018 (or 3227615012 counting only the distinct ones).

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

Adding to 121100112211120 its reverse (21112211001121), we get a palindrome (142212323212241).

The spelling of 121100112211120 in words is "one hundred twenty-one trillion, one hundred billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty".