112012719840 has 576 divisors, whose sum is σ = 466279317504. Its totient is φ = 23902470144.

The previous prime is 112012719829. The next prime is 112012719851. The reversal of 112012719840 is 48917210211.

It is an interprime number because it is at equal distance from previous prime (112012719829) and next prime (112012719851).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112012719795 and 112012719804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21760147 + ... + 21765293.

It is an arithmetic number, because the mean of its divisors is an integer number (809512704).

Almost surely, 2^112012719840 is an apocalyptic number.

112012719840 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 112012719840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233139658752).

112012719840 is an abundant number, since it is smaller than the sum of its proper divisors (354266597664).

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

112012719840 is a wasteful number, since it uses less digits than its factorization.

112012719840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5319 (or 5308 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 112012719840 in words is "one hundred twelve billion, twelve million, seven hundred nineteen thousand, eight hundred forty".