121211112101112 has 768 divisors, whose sum is σ = 405449343936000. Its totient is φ = 32288539852800.

The previous prime is 121211112101111. The next prime is 121211112101173. The reversal of 121211112101112 is 211101211112121.

121211112101112 is a `hidden beast` number, since 121 + 211 + 11 + 210 + 1 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121211112101111) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1198718268 + ... + 1198819380.

It is an arithmetic number, because the mean of its divisors is an integer number (527928833250).

Almost surely, 2^{121211112101112} is an apocalyptic number.

121211112101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121211112101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202724671968000).

121211112101112 is an abundant number, since it is smaller than the sum of its proper divisors (284238231834888).

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

121211112101112 is a wasteful number, since it uses less digits than its factorization.

121211112101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101292 (or 101285 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 121211112101112 its reverse (211101211112121), we get a palindrome (332312323213233).

The spelling of 121211112101112 in words is "one hundred twenty-one trillion, two hundred eleven billion, one hundred twelve million, one hundred one thousand, one hundred twelve".