201202221312 has 108 divisors (see below), whose sum is σ = 582273963180. Its totient is φ = 66817880064.

The previous prime is 201202221251. The next prime is 201202221323. The reversal of 201202221312 is 213122202102.

It can be written as a sum of positive squares in 2 ways, for example, as 49775394816 + 151426826496 = 223104^2 + 389136^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 457458 + ... + 782094.

It is an arithmetic number, because the mean of its divisors is an integer number (5391425585).

Almost surely, 2^201202221312 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 201202221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291136981590).

201202221312 is an abundant number, since it is smaller than the sum of its proper divisors (381071741868).

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

201202221312 is a wasteful number, since it uses less digits than its factorization.

201202221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324928 (or 324911 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201202221312 its reverse (213122202102), we get a palindrome (414324423414).

The spelling of 201202221312 in words is "two hundred one billion, two hundred two million, two hundred twenty-one thousand, three hundred twelve".