4112120030200 has 576 divisors, whose sum is σ = 12370163883840. Its totient is φ = 1237825290240.

The previous prime is 4112120030173. The next prime is 4112120030219. The reversal of 4112120030200 is 20300212114.

It is a super-2 number, since 2×4112120030200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1858164294 + ... + 1858166506.

It is an arithmetic number, because the mean of its divisors is an integer number (21475978965).

Almost surely, 2^{4112120030200} is an apocalyptic number.

4112120030200 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 4112120030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6185081941920).

4112120030200 is an abundant number, since it is smaller than the sum of its proper divisors (8258043853640).

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

4112120030200 is a wasteful number, since it uses less digits than its factorization.

4112120030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 4112120030200 its reverse (20300212114), we get a palindrome (4132420242314).

The spelling of 4112120030200 in words is "four trillion, one hundred twelve billion, one hundred twenty million, thirty thousand, two hundred".