112121201000112 has 40 divisors (see below), whose sum is σ = 293725963192320. Its totient is φ = 36847343050560.

The previous prime is 112121201000111. The next prime is 112121201000161. The reversal of 112121201000112 is 211000102121211.

It is a happy number.

It is a super-2 number, since 2×112121201000112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112121201000091 and 112121201000100.

It is not an unprimeable number, because it can be changed into a prime (112121201000111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16449703312 + ... + 16449710127.

It is an arithmetic number, because the mean of its divisors is an integer number (7343149079808).

Almost surely, 2^{112121201000112} is an apocalyptic number.

112121201000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112121201000112 is an abundant number, since it is smaller than the sum of its proper divisors (181604762192208).

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

112121201000112 is a wasteful number, since it uses less digits than its factorization.

112121201000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32899413521 (or 32899413515 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112121201000112 its reverse (211000102121211), we get a palindrome (323121303121323).

The spelling of 112121201000112 in words is "one hundred twelve trillion, one hundred twenty-one billion, two hundred one million, one hundred twelve", and thus it is an aban number.