112012202122002 has 192 divisors, whose sum is σ = 302819047824384. Its totient is φ = 29136655566720.

The previous prime is 112012202121991. The next prime is 112012202122049. The reversal of 112012202122002 is 200221202210211.

It is a happy number.

112012202122002 is a `hidden beast` number, since 1 + 1 + 201 + 220 + 21 + 220 + 0 + 2 = 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, 38377677 + ... + 41193087.

It is an arithmetic number, because the mean of its divisors is an integer number (1577182540752).

Almost surely, 2^{112012202122002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112012202122002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151409523912192).

112012202122002 is an abundant number, since it is smaller than the sum of its proper divisors (190806845702382).

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

112012202122002 is a wasteful number, since it uses less digits than its factorization.

112012202122002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815773 (or 2815770 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112012202122002 its reverse (200221202210211), we get a palindrome (312233404332213).

The spelling of 112012202122002 in words is "one hundred twelve trillion, twelve billion, two hundred two million, one hundred twenty-two thousand, two".