112701820 has 72 divisors (see below), whose sum is σ = 297353952. Its totient is φ = 35122560.

The previous prime is 112701803. The next prime is 112701847. The reversal of 112701820 is 28107211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 112701791 and 112701800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13614 + ... + 20266.

It is an arithmetic number, because the mean of its divisors is an integer number (4129916).

Almost surely, 2^112701820 is an apocalyptic number.

112701820 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 112701820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148676976).

112701820 is an abundant number, since it is smaller than the sum of its proper divisors (184652132).

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

112701820 is a wasteful number, since it uses less digits than its factorization.

112701820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6691 (or 6678 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 22.

The square root of 112701820 is about 10616.1113407876. Note that the first 3 decimals coincide. The cubic root of 112701820 is about 483.0331940260.

The spelling of 112701820 in words is "one hundred twelve million, seven hundred one thousand, eight hundred twenty".