121201011110112 has 96 divisors (see below), whose sum is σ = 327905975763072. Its totient is φ = 39169536643584.

The previous prime is 121201011110071. The next prime is 121201011110143. The reversal of 121201011110112 is 211011110102121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×121201011110112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121201011110091 and 121201011110100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59280838 + ... + 61291269.

It is an arithmetic number, because the mean of its divisors is an integer number (3415687247532).

Almost surely, 2^{121201011110112} is an apocalyptic number.

121201011110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121201011110112 is an abundant number, since it is smaller than the sum of its proper divisors (206704964652960).

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

121201011110112 is a wasteful number, since it uses less digits than its factorization.

121201011110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120572440 (or 120572432 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 121201011110112 its reverse (211011110102121), we get a palindrome (332212121212233).

The spelling of 121201011110112 in words is "one hundred twenty-one trillion, two hundred one billion, eleven million, one hundred ten thousand, one hundred twelve".