201012200312112 has 480 divisors, whose sum is σ = 682767917913600. Its totient is φ = 56441114731008.

The previous prime is 201012200312101. The next prime is 201012200312113. The reversal of 201012200312112 is 211213002210102.

201012200312112 is a `hidden beast` number, since 20 + 1 + 0 + 1 + 220 + 0 + 312 + 112 = 666.

201012200312112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201012200312113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4324959018 + ... + 4325005494.

It is an arithmetic number, because the mean of its divisors is an integer number (1422433162320).

Almost surely, 2^{201012200312112} 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 201012200312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341383958956800).

201012200312112 is an abundant number, since it is smaller than the sum of its proper divisors (481755717601488).

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

201012200312112 is a wasteful number, since it uses less digits than its factorization.

201012200312112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50030 (or 50011 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 201012200312112 its reverse (211213002210102), we get a palindrome (412225202522214).

The spelling of 201012200312112 in words is "two hundred one trillion, twelve billion, two hundred million, three hundred twelve thousand, one hundred twelve".