112350420 has 288 divisors, whose sum is σ = 442740480. Its totient is φ = 22457088.

The previous prime is 112350409. The next prime is 112350449. The reversal of 112350420 is 24053211.

112350420 is a `hidden beast` number, since 11 + 235 + 0 + 420 = 666.

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 = 112350393 and 112350402.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 5913171 + ... + 5913189.

Almost surely, 2^112350420 is an apocalyptic number.

112350420 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 112350420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221370240).

112350420 is an abundant number, since it is smaller than the sum of its proper divisors (330390060).

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

112350420 is a wasteful number, since it uses less digits than its factorization.

112350420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 112350420 is about 10599.5481035750. The cubic root of 112350420 is about 482.5306449614.

The spelling of 112350420 in words is "one hundred twelve million, three hundred fifty thousand, four hundred twenty".