112010102949472 has 1536 divisors, whose sum is σ = 315451293696000. Its totient is φ = 37905657495552.

The previous prime is 112010102949469. The next prime is 112010102949497. The reversal of 112010102949472 is 274949201010211.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 249465707904 + ... + 249465708352.

It is an arithmetic number, because the mean of its divisors is an integer number (205371936000).

Almost surely, 2^{112010102949472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112010102949472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157725646848000).

112010102949472 is an abundant number, since it is smaller than the sum of its proper divisors (203441190746528).

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

112010102949472 is a wasteful number, since it uses less digits than its factorization.

112010102949472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 43.

Adding to 112010102949472 its reverse (274949201010211), we get a palindrome (386959303959683).

The spelling of 112010102949472 in words is "one hundred twelve trillion, ten billion, one hundred two million, nine hundred forty-nine thousand, four hundred seventy-two".