201212122120 has 64 divisors (see below), whose sum is σ = 459062478000. Its totient is φ = 79359234048.

The previous prime is 201212122081. The next prime is 201212122141. The reversal of 201212122120 is 21221212102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 117798595524 + 83413526596 = 343218^2 + 288814^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201212122094 and 201212122103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12866466 + ... + 12882094.

Almost surely, 2^201212122120 is an apocalyptic number.

201212122120 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 201212122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229531239000).

201212122120 is an abundant number, since it is smaller than the sum of its proper divisors (257850355880).

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

201212122120 is a wasteful number, since it uses less digits than its factorization.

201212122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20122 (or 20118 counting only the distinct ones).

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

Adding to 201212122120 its reverse (21221212102), we get a palindrome (222433334222).

The spelling of 201212122120 in words is "two hundred one billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twenty".