201212400112 has 120 divisors (see below), whose sum is σ = 433303141824. Its totient is φ = 90161012736.

The previous prime is 201212400107. The next prime is 201212400127. The reversal of 201212400112 is 211004212102.

201212400112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201212400112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17495548 + ... + 17507044.

Almost surely, 2^201212400112 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 201212400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216651570912).

201212400112 is an abundant number, since it is smaller than the sum of its proper divisors (232090741712).

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

201212400112 is a wasteful number, since it uses less digits than its factorization.

201212400112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11643 (or 11600 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201212400112 its reverse (211004212102), we get a palindrome (412216612214).

The spelling of 201212400112 in words is "two hundred one billion, two hundred twelve million, four hundred thousand, one hundred twelve".