121310112 has 96 divisors (see below), whose sum is σ = 397039104. Its totient is φ = 31507200.

The previous prime is 121310107. The next prime is 121310141. The reversal of 121310112 is 211013121.

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

It is a super-2 number, since 2×121310112² = 29432286546905088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 814 + ... + 15597.

It is an arithmetic number, because the mean of its divisors is an integer number (4135824).

Almost surely, 2^121310112 is an apocalyptic number.

121310112 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 121310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198519552).

121310112 is an abundant number, since it is smaller than the sum of its proper divisors (275728992).

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

121310112 is a wasteful number, since it uses less digits than its factorization.

121310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16442 (or 16434 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 121310112 is about 11014.0869798636. The cubic root of 121310112 is about 495.0309296050.

Adding to 121310112 its reverse (211013121), we get a palindrome (332323233).

It can be divided in two parts, 1213 and 10112, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 121310112 in words is "one hundred twenty-one million, three hundred ten thousand, one hundred twelve".