2112406500096 has 216 divisors, whose sum is σ = 6499652350464. Its totient is φ = 657495982080.

The previous prime is 2112406500041. The next prime is 2112406500109. The reversal of 2112406500096 is 6900056042112.

2112406500096 is a `hidden beast` number, since 2 + 112 + 406 + 50 + 0 + 0 + 96 = 666.

It is a super-2 number, since 2×2112406500096² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2112406500096.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4762006 + ... + 5186666.

It is an arithmetic number, because the mean of its divisors is an integer number (30090983104).

Almost surely, 2^{2112406500096} 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 2112406500096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249826175232).

2112406500096 is an abundant number, since it is smaller than the sum of its proper divisors (4387245850368).

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

2112406500096 is a wasteful number, since it uses less digits than its factorization.

2112406500096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424827 (or 424810 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 2112406500096 in words is "two trillion, one hundred twelve billion, four hundred six million, five hundred thousand, ninety-six".