112302112302000 has 960 divisors, whose sum is σ = 420603674070528. Its totient is φ = 27827712000000.

The previous prime is 112302112301789. The next prime is 112302112302011. The reversal of 112302112302000 is 203211203211.

112302112302000 is a `hidden beast` number, since 1 + 1 + 23 + 0 + 211 + 230 + 200 + 0 = 666.

It is a super-2 number, since 2×112302112302000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11342497050 + ... + 11342506950.

Almost surely, 2^{112302112302000} is an apocalyptic number.

112302112302000 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 112302112302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210301837035264).

112302112302000 is an abundant number, since it is smaller than the sum of its proper divisors (308301561768528).

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

112302112302000 is a wasteful number, since it uses less digits than its factorization.

112302112302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10415 (or 10396 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112302112302000 its reverse (203211203211), we get a palindrome (112505323505211).

The spelling of 112302112302000 in words is "one hundred twelve trillion, three hundred two billion, one hundred twelve million, three hundred two thousand".