2231133011200 has 108 divisors (see below), whose sum is σ = 5527454306220. Its totient is φ = 891636858880.

The previous prime is 2231133011197. The next prime is 2231133011201. The reversal of 2231133011200 is 21103311322.

2231133011200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 42958365696 + 2188174645504 = 207264^2 + 1479248^2 .

It is a super-3 number, since 3×2231133011200³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231133011201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6861906 + ... + 7179694.

It is an arithmetic number, because the mean of its divisors is an integer number (51180132465).

Almost surely, 2^{2231133011200} is an apocalyptic number.

2231133011200 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 2231133011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763727153110).

2231133011200 is an abundant number, since it is smaller than the sum of its proper divisors (3296321295020).

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

2231133011200 is a wasteful number, since it uses less digits than its factorization.

2231133011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318912 (or 318893 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2231133011200 its reverse (21103311322), we get a palindrome (2252236322522).

The spelling of 2231133011200 in words is "two trillion, two hundred thirty-one billion, one hundred thirty-three million, eleven thousand, two hundred".