2311212101200 has 120 divisors (see below), whose sum is σ = 5570848230840. Its totient is φ = 921464832000.

The previous prime is 2311212101171. The next prime is 2311212101213. The reversal of 2311212101200 is 21012121132.

It can be written as a sum of positive squares in 12 ways, for example, as 142095825936 + 2169116275264 = 376956^2 + 1472792^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238830762 + ... + 238840438.

It is an arithmetic number, because the mean of its divisors is an integer number (46423735257).

Almost surely, 2^{2311212101200} is an apocalyptic number.

2311212101200 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 2311212101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785424115420).

2311212101200 is an abundant number, since it is smaller than the sum of its proper divisors (3259636129640).

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

2311212101200 is a wasteful number, since it uses less digits than its factorization.

2311212101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11585 (or 11574 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2311212101200 its reverse (21012121132), we get a palindrome (2332224222332).

The spelling of 2311212101200 in words is "two trillion, three hundred eleven billion, two hundred twelve million, one hundred one thousand, two hundred".