2311132120200 has 72 divisors (see below), whose sum is σ = 7761552043050. Its totient is φ = 616301898240.

The previous prime is 2311132120133. The next prime is 2311132120243. The reversal of 2311132120200 is 20212311132.

2311132120200 is a `hidden beast` number, since 2 + 311 + 1 + 32 + 120 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 870858507204 + 1440273612996 = 933198^2 + 1200114^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 641979345 + ... + 641982944.

Almost surely, 2^{2311132120200} is an apocalyptic number.

2311132120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2311132120200 is an abundant number, since it is smaller than the sum of its proper divisors (5450419922850).

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

2311132120200 is a wasteful number, since it uses less digits than its factorization.

2311132120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283962311 (or 1283962299 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2311132120200 its reverse (20212311132), we get a palindrome (2331344431332).

The spelling of 2311132120200 in words is "two trillion, three hundred eleven billion, one hundred thirty-two million, one hundred twenty thousand, two hundred".