112425120 has 144 divisors (see below), whose sum is σ = 387950472. Its totient is φ = 29644800.

The previous prime is 112425101. The next prime is 112425133. The reversal of 112425120 is 21524211.

112425120 is a `hidden beast` number, since 112 + 42 + 512 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 92390544 + 20034576 = 9612^2 + 4476^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112425093 and 112425102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145054 + ... + 145826.

Almost surely, 2^112425120 is an apocalyptic number.

112425120 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 112425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193975236).

112425120 is an abundant number, since it is smaller than the sum of its proper divisors (275525352).

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

112425120 is a wasteful number, since it uses less digits than its factorization.

112425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 112425120 is about 10603.0712531794. The cubic root of 112425120 is about 482.6375635753.

Adding to 112425120 its reverse (21524211), we get a palindrome (133949331).

Subtracting from 112425120 its reverse (21524211), we obtain a palindrome (90900909).

It can be divided in two parts, 1124 and 25120, that added together give a square (26244 = 162²).

The spelling of 112425120 in words is "one hundred twelve million, four hundred twenty-five thousand, one hundred twenty".