1201211002112 has 144 divisors (see below), whose sum is σ = 2733496077312. Its totient is φ = 521957775360.

The previous prime is 1201211002111. The next prime is 1201211002127. The reversal of 1201211002112 is 2112001121021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201211002111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5585603 + ... + 5796669.

It is an arithmetic number, because the mean of its divisors is an integer number (18982611648).

Almost surely, 2^{1201211002112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201211002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366748038656).

1201211002112 is an abundant number, since it is smaller than the sum of its proper divisors (1532285075200).

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

1201211002112 is a wasteful number, since it uses less digits than its factorization.

1201211002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211184 (or 211170 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1201211002112 its reverse (2112001121021), we get a palindrome (3313212123133).

The spelling of 1201211002112 in words is "one trillion, two hundred one billion, two hundred eleven million, two thousand, one hundred twelve".