1000112120 has 128 divisors (see below), whose sum is σ = 2758924800. Its totient is φ = 318629376.

The previous prime is 1000112117. The next prime is 1000112123. The reversal of 1000112120 is 212110001.

It is an interprime number because it is at equal distance from previous prime (1000112117) and next prime (1000112123).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1000112098 and 1000112107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000112123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280187 + ... + 283733.

It is an arithmetic number, because the mean of its divisors is an integer number (21554100).

Almost surely, 2^1000112120 is an apocalyptic number.

1000112120 is a gapful number since it is divisible by the number (10) 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 1000112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379462400).

1000112120 is an abundant number, since it is smaller than the sum of its proper divisors (1758812680).

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

1000112120 is a wasteful number, since it uses less digits than its factorization.

1000112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3637 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1000112120 is about 31624.5493248520. The cubic root of 1000112120 is about 1000.0373719367.

Adding to 1000112120 its reverse (212110001), we get a palindrome (1212222121).

The spelling of 1000112120 in words is "one billion, one hundred twelve thousand, one hundred twenty".