201213311120 has 40 divisors (see below), whose sum is σ = 472112904120. Its totient is φ = 79746923520.

The previous prime is 201213310993. The next prime is 201213311141. The reversal of 201213311120 is 21113312102.

It can be written as a sum of positive squares in 4 ways, for example, as 16866736384 + 184346574736 = 129872^2 + 429356^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11528741 + ... + 11546180.

It is an arithmetic number, because the mean of its divisors is an integer number (11802822603).

Almost surely, 2^201213311120 is an apocalyptic number.

201213311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201213311120 is an abundant number, since it is smaller than the sum of its proper divisors (270899593000).

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

201213311120 is a wasteful number, since it uses less digits than its factorization.

201213311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23075043 (or 23075037 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 201213311120 its reverse (21113312102), we get a palindrome (222326623222).

The spelling of 201213311120 in words is "two hundred one billion, two hundred thirteen million, three hundred eleven thousand, one hundred twenty".