201122220012 has 192 divisors, whose sum is σ = 557405936640. Its totient is φ = 55244934144.

The previous prime is 201122220011. The next prime is 201122220031. The reversal of 201122220012 is 210022221102.

201122220012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201122219973 and 201122220000.

It is not an unprimeable number, because it can be changed into a prime (201122220011) 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, 235781778 + ... + 235782630.

It is an arithmetic number, because the mean of its divisors is an integer number (2903155920).

Almost surely, 2^201122220012 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 201122220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278702968320).

201122220012 is an abundant number, since it is smaller than the sum of its proper divisors (356283716628).

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

201122220012 is a wasteful number, since it uses less digits than its factorization.

201122220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 201122220012 its reverse (210022221102), we get a palindrome (411144441114).

The spelling of 201122220012 in words is "two hundred one billion, one hundred twenty-two million, two hundred twenty thousand, twelve".