11312333001200 has 360 divisors, whose sum is σ = 34500935865744. Its totient is φ = 3524720640000.

The previous prime is 11312333001121. The next prime is 11312333001209. The reversal of 11312333001200 is 210033321311.

11312333001200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312333001209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 797928512 + ... + 797942688.

Almost surely, 2^{11312333001200} is an apocalyptic number.

11312333001200 is a gapful number since it is divisible by the number (10) 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 11312333001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17250467932872).

11312333001200 is an abundant number, since it is smaller than the sum of its proper divisors (23188602864544).

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

11312333001200 is a wasteful number, since it uses less digits than its factorization.

11312333001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17921 (or 17903 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 11312333001200 its reverse (210033321311), we get a palindrome (11522366322511).

The spelling of 11312333001200 in words is "eleven trillion, three hundred twelve billion, three hundred thirty-three million, one thousand, two hundred".