2112318000 has 800 divisors, whose sum is σ = 8847558720. Its totient is φ = 481075200.

The previous prime is 2112317993. The next prime is 2112318007. The reversal of 2112318000 is 8132112.

It is an interprime number because it is at equal distance from previous prime (2112317993) and next prime (2112318007).

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

It is not an unprimeable number, because it can be changed into a prime (2112318007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35801971 + ... + 35802029.

Almost surely, 2^2112318000 is an apocalyptic number.

2112318000 is a gapful number since it is divisible by the number (20) 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 2112318000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4423779360).

2112318000 is an abundant number, since it is smaller than the sum of its proper divisors (6735240720).

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

2112318000 is a wasteful number, since it uses less digits than its factorization.

2112318000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

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

The square root of 2112318000 is about 45959.9608354925. The cubic root of 2112318000 is about 1283.0781224483.

The spelling of 2112318000 in words is "two billion, one hundred twelve million, three hundred eighteen thousand".