201311240000 has 140 divisors (see below), whose sum is σ = 537586795284. Its totient is φ = 74330112000.

The previous prime is 201311239993. The next prime is 201311240003. The reversal of 201311240000 is 42113102.

It can be written as a sum of positive squares in 10 ways, for example, as 201234782464 + 76457536 = 448592^2 + 8744^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201311240003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 326432 + ... + 713568.

Almost surely, 2^201311240000 is an apocalyptic number.

201311240000 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 201311240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268793397642).

201311240000 is an abundant number, since it is smaller than the sum of its proper divisors (336275555284).

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

201311240000 is an equidigital number, since it uses as much as digits as its factorization.

201311240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387182 (or 387157 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 201311240000 its reverse (42113102), we get a palindrome (201353353102).

The spelling of 201311240000 in words is "two hundred one billion, three hundred eleven million, two hundred forty thousand".