2202112000 has 416 divisors, whose sum is σ = 6624094464. Its totient is φ = 720896000.

The previous prime is 2202111991. The next prime is 2202112043. The reversal of 2202112000 is 2112022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95743989 + ... + 95744011.

It is an arithmetic number, because the mean of its divisors is an integer number (15923304).

Almost surely, 2^2202112000 is an apocalyptic number.

2202112000 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 2202112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312047232).

2202112000 is an abundant number, since it is smaller than the sum of its proper divisors (4421982464).

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

2202112000 is a wasteful number, since it uses less digits than its factorization.

2202112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2202112000 is about 46926.6661931145. Note that the first 3 decimals coincide. The cubic root of 2202112000 is about 1301.0075030048.

Adding to 2202112000 its reverse (2112022), we get a palindrome (2204224022).

The spelling of 2202112000 in words is "two billion, two hundred two million, one hundred twelve thousand".