201211020212112 has 320 divisors, whose sum is σ = 596952032624640. Its totient is φ = 64847952000000.

The previous prime is 201211020212101. The next prime is 201211020212117. The reversal of 201211020212112 is 211212020112102.

201211020212112 is a `hidden beast` number, since 201 + 211 + 0 + 20 + 21 + 211 + 2 = 666.

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 (201211020212117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1742466537 + ... + 1742582007.

It is an arithmetic number, because the mean of its divisors is an integer number (1865475101952).

Almost surely, 2^{201211020212112} 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 201211020212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298476016312320).

201211020212112 is an abundant number, since it is smaller than the sum of its proper divisors (395741012412528).

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

201211020212112 is a wasteful number, since it uses less digits than its factorization.

201211020212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116411 (or 116399 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201211020212112 its reverse (211212020112102), we get a palindrome (412423040324214).

The spelling of 201211020212112 in words is "two hundred one trillion, two hundred eleven billion, twenty million, two hundred twelve thousand, one hundred twelve".