120002112 has 42 divisors (see below), whose sum is σ = 343966038. Its totient is φ = 40000512.

The previous prime is 120002111. The next prime is 120002117. The reversal of 120002112 is 211200021.

It can be written as a sum of positive squares in only one way, i.e., 103550976 + 16451136 = 10176^2 + 4056^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120002094 and 120002103.

It is not an unprimeable number, because it can be changed into a prime (120002111) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 103593 + ... + 104744.

Almost surely, 2^120002112 is an apocalyptic number.

120002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120002112 is an abundant number, since it is smaller than the sum of its proper divisors (223963926).

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

120002112 is a wasteful number, since it uses less digits than its factorization.

120002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208355 (or 208342 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 120002112 is about 10954.5475488493. The cubic root of 120002112 is about 493.2453085380.

Adding to 120002112 its reverse (211200021), we get a palindrome (331202133).

The spelling of 120002112 in words is "one hundred twenty million, two thousand, one hundred twelve".