112021012000000 has 252 divisors, whose sum is σ = 284776135834428. Its totient is φ = 43962880000000.

The previous prime is 112021011999997. The next prime is 112021012000049. The reversal of 112021012000000 is 210120211.

It can be written as a sum of positive squares in 14 ways, for example, as 112013604987904 + 7407012096 = 10583648^2 + 86064^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 211735800 + ... + 212264200.

It is an arithmetic number, because the mean of its divisors is an integer number (1130064031089).

Almost surely, 2^{112021012000000} is an apocalyptic number.

112021012000000 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 112021012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142388067917214).

112021012000000 is an abundant number, since it is smaller than the sum of its proper divisors (172755123834428).

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

112021012000000 is an frugal number, since it uses more digits than its factorization.

112021012000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528500 (or 528461 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 112021012000000 its reverse (210120211), we get a palindrome (112021222120211).

The spelling of 112021012000000 in words is "one hundred twelve trillion, twenty-one billion, twelve million", and thus it is an aban number.