2011312321200 has 720 divisors, whose sum is σ = 8610551389440. Its totient is φ = 423376312320.

The previous prime is 2011312321181. The next prime is 2011312321201. The reversal of 2011312321200 is 21232131102.

2011312321200 is a `hidden beast` number, since 2 + 0 + 11 + 312 + 321 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (2011312321201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 145119871 + ... + 145133729.

It is an arithmetic number, because the mean of its divisors is an integer number (11959099152).

Almost surely, 2^{2011312321200} is an apocalyptic number.

2011312321200 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 2011312321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305275694720).

2011312321200 is an abundant number, since it is smaller than the sum of its proper divisors (6599239068240).

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

2011312321200 is a wasteful number, since it uses less digits than its factorization.

2011312321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14346 (or 14332 counting only the distinct ones).

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

Adding to 2011312321200 its reverse (21232131102), we get a palindrome (2032544452302).

The spelling of 2011312321200 in words is "two trillion, eleven billion, three hundred twelve million, three hundred twenty-one thousand, two hundred".