4112243002120 has 256 divisors, whose sum is σ = 10641184773120. Its totient is φ = 1416709324800.

The previous prime is 4112243002103. The next prime is 4112243002151. The reversal of 4112243002120 is 212003422114.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4112243002091 and 4112243002100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150722880 + ... + 150750160.

It is an arithmetic number, because the mean of its divisors is an integer number (41567128020).

Almost surely, 2^{4112243002120} is an apocalyptic number.

4112243002120 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 4112243002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5320592386560).

4112243002120 is an abundant number, since it is smaller than the sum of its proper divisors (6528941771000).

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

4112243002120 is a wasteful number, since it uses less digits than its factorization.

4112243002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27584 (or 27580 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 4112243002120 its reverse (212003422114), we get a palindrome (4324246424234).

The spelling of 4112243002120 in words is "four trillion, one hundred twelve billion, two hundred forty-three million, two thousand, one hundred twenty".