30002112 has 126 divisors (see below), whose sum is σ = 100129848. Its totient is φ = 8563968.

The previous prime is 30002111. The next prime is 30002117. The reversal of 30002112 is 21120003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (126).

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 = 30002094 and 30002103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30002111) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27693 + ... + 28755.

Almost surely, 2^30002112 is an apocalyptic number.

30002112 is a gapful number since it is divisible by the number (32) 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 30002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50064924).

30002112 is an abundant number, since it is smaller than the sum of its proper divisors (70127736).

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

30002112 is a wasteful number, since it uses less digits than its factorization.

30002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 30002112 is about 5477.4183699988. The cubic root of 30002112 is about 310.7305420632.

Adding to 30002112 its reverse (21120003), we get a palindrome (51122115).

The spelling of 30002112 in words is "thirty million, two thousand, one hundred twelve".