112007120 has 40 divisors (see below), whose sum is σ = 261954216. Its totient is φ = 44538368.

The previous prime is 112007117. The next prime is 112007143. The reversal of 112007120 is 21700211.

It can be written as a sum of positive squares in 4 ways, for example, as 28686736 + 83320384 = 5356^2 + 9128^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 112007095 and 112007104.

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, 9794 + ... + 17886.

Almost surely, 2^112007120 is an apocalyptic number.

112007120 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 112007120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130977108).

112007120 is an abundant number, since it is smaller than the sum of its proper divisors (149947096).

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

112007120 is a wasteful number, since it uses less digits than its factorization.

112007120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8279 (or 8273 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 112007120 is about 10583.3416272933. The cubic root of 112007120 is about 482.0386670311.

Adding to 112007120 its reverse (21700211), we get a palindrome (133707331).

The spelling of 112007120 in words is "one hundred twelve million, seven thousand, one hundred twenty".