112012544000 has 192 divisors, whose sum is σ = 319450884480. Its totient is φ = 38403686400.

The previous prime is 112012543943. The next prime is 112012544011. The reversal of 112012544000 is 445210211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1760747 + ... + 1823253.

It is an arithmetic number, because the mean of its divisors is an integer number (1663806690).

Almost surely, 2^112012544000 is an apocalyptic number.

112012544000 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 112012544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159725442240).

112012544000 is an abundant number, since it is smaller than the sum of its proper divisors (207438340480).

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

112012544000 is an frugal number, since it uses more digits than its factorization.

112012544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62551 (or 62521 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 112012544000 its reverse (445210211), we get a palindrome (112457754211).

The spelling of 112012544000 in words is "one hundred twelve billion, twelve million, five hundred forty-four thousand".