201012112011200 has 336 divisors, whose sum is σ = 576439237670400. Its totient is φ = 67568111923200.

The previous prime is 201012112011181. The next prime is 201012112011203. The reversal of 201012112011200 is 2110211210102.

It is a super-3 number, since 3×201012112011200³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201012112011203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 141634706 + ... + 143046894.

Almost surely, 2^{201012112011200} is an apocalyptic number.

201012112011200 is a gapful number since it is divisible by the number (20) 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 201012112011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288219618835200).

201012112011200 is an abundant number, since it is smaller than the sum of its proper divisors (375427125659200).

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

201012112011200 is a wasteful number, since it uses less digits than its factorization.

201012112011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412468 (or 1412453 counting only the distinct ones).

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

Adding to 201012112011200 its reverse (2110211210102), we get a palindrome (203122323221302).

The spelling of 201012112011200 in words is "two hundred one trillion, twelve billion, one hundred twelve million, eleven thousand, two hundred".