112112200233000 has 384 divisors, whose sum is σ = 413413144185600. Its totient is φ = 27177079104000.

The previous prime is 112112200232983. The next prime is 112112200233023. The reversal of 112112200233000 is 332002211211.

112112200233000 is a `hidden beast` number, since 1 + 1 + 211 + 220 + 0 + 233 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2837617246 + ... + 2837656754.

It is an arithmetic number, because the mean of its divisors is an integer number (1076596729650).

Almost surely, 2^{112112200233000} is an apocalyptic number.

112112200233000 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 112112200233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206706572092800).

112112200233000 is an abundant number, since it is smaller than the sum of its proper divisors (301300943952600).

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

112112200233000 is a wasteful number, since it uses less digits than its factorization.

112112200233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68210 (or 68193 counting only the distinct ones).

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

Adding to 112112200233000 its reverse (332002211211), we get a palindrome (112444202444211).

The spelling of 112112200233000 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred million, two hundred thirty-three thousand".