112122100002000 has 640 divisors, whose sum is σ = 419208906055680. Its totient is φ = 25495545600000.

The previous prime is 112122100001953. The next prime is 112122100002001. The reversal of 112122100002000 is 200001221211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112122100002001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 126211369 + ... + 127096631.

It is an arithmetic number, because the mean of its divisors is an integer number (655013915712).

Almost surely, 2^{112122100002000} is an apocalyptic number.

112122100002000 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 112122100002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209604453027840).

112122100002000 is an abundant number, since it is smaller than the sum of its proper divisors (307086806053680).

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

112122100002000 is a wasteful number, since it uses less digits than its factorization.

112122100002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885420 (or 885404 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112122100002000 its reverse (200001221211), we get a palindrome (112322101223211).

The spelling of 112122100002000 in words is "one hundred twelve trillion, one hundred twenty-two billion, one hundred million, two thousand".