121046112 has 144 divisors (see below), whose sum is σ = 395478720. Its totient is φ = 34732800.

The previous prime is 121046099. The next prime is 121046147. The reversal of 121046112 is 211640121.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×121046112² = 29304322460633088, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59187 + ... + 61197.

It is an arithmetic number, because the mean of its divisors is an integer number (2746380).

Almost surely, 2^121046112 is an apocalyptic number.

121046112 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 121046112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197739360).

121046112 is an abundant number, since it is smaller than the sum of its proper divisors (274432608).

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

121046112 is a wasteful number, since it uses less digits than its factorization.

121046112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 121046112 is about 11002.0958003464. The cubic root of 121046112 is about 494.6715666439.

Adding to 121046112 its reverse (211640121), we get a palindrome (332686233).

The spelling of 121046112 in words is "one hundred twenty-one million, forty-six thousand, one hundred twelve".