112678020 has 192 divisors, whose sum is σ = 431639040. Its totient is φ = 23763456.

The previous prime is 112678003. The next prime is 112678031. The reversal of 112678020 is 20876211.

It is a super-2 number, since 2×112678020² = 25392672382240800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 47994 + ... + 50286.

It is an arithmetic number, because the mean of its divisors is an integer number (2248120).

Almost surely, 2^112678020 is an apocalyptic number.

112678020 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 112678020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215819520).

112678020 is an abundant number, since it is smaller than the sum of its proper divisors (318961020).

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

112678020 is a wasteful number, since it uses less digits than its factorization.

112678020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 112678020 is about 10614.9903438486. The cubic root of 112678020 is about 482.9991898447. Note that the first 3 decimals are identical.

The spelling of 112678020 in words is "one hundred twelve million, six hundred seventy-eight thousand, twenty".