2112002112 has 112 divisors (see below), whose sum is σ = 6156984384. Its totient is φ = 633600000.

The previous prime is 2112002107. The next prime is 2112002149.

2112002112 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208362 + ... + 218262.

Almost surely, 2^2112002112 is an apocalyptic number.

2112002112 is a gapful number since it is divisible by the number (22) 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 2112002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078492192).

2112002112 is an abundant number, since it is smaller than the sum of its proper divisors (4044982272).

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

2112002112 is a wasteful number, since it uses less digits than its factorization.

2112002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10028 (or 10018 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2112002112 is about 45956.5241505491. The cubic root of 2112002112 is about 1283.0141596694.

It can be divided in two parts, 211200 and 2112, that multiplied together give a square (446054400 = 21120²).

The spelling of 2112002112 in words is "two billion, one hundred twelve million, two thousand, one hundred twelve".