112640220 has 432 divisors, whose sum is σ = 460107648. Its totient is φ = 22861440.

The previous prime is 112640207. The next prime is 112640233. The reversal of 112640220 is 22046211.

112640220 is a `hidden beast` number, since 1 + 1 + 2 + 640 + 2 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (112640207) and next prime (112640233).

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 = 112640193 and 112640202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2619519 + ... + 2619561.

It is an arithmetic number, because the mean of its divisors is an integer number (1065064).

Almost surely, 2^112640220 is an apocalyptic number.

112640220 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 112640220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230053824).

112640220 is an abundant number, since it is smaller than the sum of its proper divisors (347467428).

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

112640220 is a wasteful number, since it uses less digits than its factorization.

112640220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 112640220 is about 10613.2096935847. The cubic root of 112640220 is about 482.9451733608.

Adding to 112640220 its reverse (22046211), we get a palindrome (134686431).

The spelling of 112640220 in words is "one hundred twelve million, six hundred forty thousand, two hundred twenty".