201211020122112 has 2304 divisors, whose sum is σ = 805335618447360. Its totient is φ = 46705567334400.

The previous prime is 201211020122107. The next prime is 201211020122137. The reversal of 201211020122112 is 211221020112102.

201211020122112 is a `hidden beast` number, since 20 + 1 + 211 + 0 + 201 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 164522501533 + ... + 164522502755.

It is an arithmetic number, because the mean of its divisors is an integer number (349538028840).

Almost surely, 2^{201211020122112} is an apocalyptic number.

201211020122112 is a gapful number since it is divisible by the number (22) 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 201211020122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402667809223680).

201211020122112 is an abundant number, since it is smaller than the sum of its proper divisors (604124598325248).

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

201211020122112 is a wasteful number, since it uses less digits than its factorization.

201211020122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1537 counting only the distinct ones).

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

Adding to 201211020122112 its reverse (211221020112102), we get a palindrome (412432040234214).

The spelling of 201211020122112 in words is "two hundred one trillion, two hundred eleven billion, twenty million, one hundred twenty-two thousand, one hundred twelve".