4112210000 has 100 divisors (see below), whose sum is σ = 10017833892. Its totient is φ = 1634688000.

The previous prime is 4112209999. The next prime is 4112210041. The reversal of 4112210000 is 122114.

It can be written as a sum of positive squares in 10 ways, for example, as 2449854016 + 1662355984 = 49496^2 + 40772^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1728812 + ... + 1731188.

Almost surely, 2^4112210000 is an apocalyptic number.

4112210000 is a gapful number since it is divisible by the number (40) 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 4112210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5008916946).

4112210000 is an abundant number, since it is smaller than the sum of its proper divisors (5905623892).

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

4112210000 is a wasteful number, since it uses less digits than its factorization.

4112210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 4112210000 is about 64126.5155766318. The cubic root of 4112210000 is about 1602.1078988404.

Adding to 4112210000 its reverse (122114), we get a palindrome (4112332114).

The spelling of 4112210000 in words is "four billion, one hundred twelve million, two hundred ten thousand".