112212012001000 has 64 divisors (see below), whose sum is σ = 262587319048080. Its totient is φ = 44882888396800.

The previous prime is 112212012000997. The next prime is 112212012001027. The reversal of 112212012001000 is 100210212211.

It can be written as a sum of positive squares in 8 ways, for example, as 8419479869956 + 103792532131044 = 2901634^2 + 10187862^2 .

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 15 ways as a sum of consecutive naturals, for example, 21153264 + ... + 25920736.

Almost surely, 2^{112212012001000} is an apocalyptic number.

112212012001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112212012001000 is an abundant number, since it is smaller than the sum of its proper divisors (150375307047080).

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

112212012001000 is a wasteful number, since it uses less digits than its factorization.

112212012001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4791031 (or 4791017 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112212012001000 its reverse (100210212211), we get a palindrome (112312222213211).

The spelling of 112212012001000 in words is "one hundred twelve trillion, two hundred twelve billion, twelve million, one thousand".