112225120 has 96 divisors (see below), whose sum is σ = 306427968. Its totient is φ = 38043648.

The previous prime is 112225111. The next prime is 112225121. The reversal of 112225120 is 21522211.

112225120 = T₂₀₁ + T₂₀₂ + ... + T₈₇₉.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 112225094 and 112225103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112225121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108124 + ... + 109156.

It is an arithmetic number, because the mean of its divisors is an integer number (3191958).

Almost surely, 2^112225120 is an apocalyptic number.

112225120 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 112225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153213984).

112225120 is an abundant number, since it is smaller than the sum of its proper divisors (194202848).

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

112225120 is a wasteful number, since it uses less digits than its factorization.

112225120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 112225120 is about 10593.6358253434. The cubic root of 112225120 is about 482.3511957572.

Adding to 112225120 its reverse (21522211), we get a palindrome (133747331).

The spelling of 112225120 in words is "one hundred twelve million, two hundred twenty-five thousand, one hundred twenty".