2331223133200 has 120 divisors (see below), whose sum is σ = 6037045245000. Its totient is φ = 859981025280.

The previous prime is 2331223133171. The next prime is 2331223133219. The reversal of 2331223133200 is 23313221332.

It can be written as a sum of positive squares in 12 ways, for example, as 1005519595536 + 1325703537664 = 1002756^2 + 1151392^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 5564676 + ... + 5968924.

It is an arithmetic number, because the mean of its divisors is an integer number (50308710375).

Almost surely, 2^{2331223133200} is an apocalyptic number.

2331223133200 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 2331223133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018522622500).

2331223133200 is an abundant number, since it is smaller than the sum of its proper divisors (3705822111800).

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

2331223133200 is a wasteful number, since it uses less digits than its factorization.

2331223133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405389 (or 405378 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 2331223133200 its reverse (23313221332), we get a palindrome (2354536354532).

The spelling of 2331223133200 in words is "two trillion, three hundred thirty-one billion, two hundred twenty-three million, one hundred thirty-three thousand, two hundred".