2112144000 has 256 divisors, whose sum is σ = 7103116800. Its totient is φ = 555110400.

The previous prime is 2112143993. The next prime is 2112144019. The reversal of 2112144000 is 4412112.

It is a super-2 number, since 2×2112144000² = 8922304553472000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3791722 + ... + 3792278.

It is an arithmetic number, because the mean of its divisors is an integer number (27746550).

Almost surely, 2^2112144000 is an apocalyptic number.

2112144000 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 2112144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551558400).

2112144000 is an abundant number, since it is smaller than the sum of its proper divisors (4990972800).

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

2112144000 is an equidigital number, since it uses as much as digits as its factorization.

2112144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2112144000 is about 45958.0678445036. The cubic root of 2112144000 is about 1283.0428907386.

Adding to 2112144000 its reverse (4412112), we get a palindrome (2116556112).

The spelling of 2112144000 in words is "two billion, one hundred twelve million, one hundred forty-four thousand".