4001112120 has 32 divisors (see below), whose sum is σ = 12003336720. Its totient is φ = 1066963200.

The previous prime is 4001112119. The next prime is 4001112133. The reversal of 4001112120 is 212111004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 4001112096 and 4001112105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16671181 + ... + 16671420.

Almost surely, 2^4001112120 is an apocalyptic number.

4001112120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001112120 is an abundant number, since it is smaller than the sum of its proper divisors (8002224600).

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

4001112120 is a wasteful number, since it uses less digits than its factorization.

4001112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33342615 (or 33342611 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 4001112120 is about 63254.3446729156. The cubic root of 4001112120 is about 1587.5481533743.

Adding to 4001112120 its reverse (212111004), we get a palindrome (4213223124).

The spelling of 4001112120 in words is "four billion, one million, one hundred twelve thousand, one hundred twenty".