2232200010312 has 128 divisors (see below), whose sum is σ = 6312712627200. Its totient is φ = 730648512000.

The previous prime is 2232200010179. The next prime is 2232200010317. The reversal of 2232200010312 is 2130100022322.

2232200010312 is a `hidden beast` number, since 22 + 322 + 0 + 0 + 0 + 10 + 312 = 666.

It is a super-3 number, since 3×2232200010312³ (a number of 38 digits) contains 333 as substring.

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 (2232200010317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7777833 + ... + 8059719.

It is an arithmetic number, because the mean of its divisors is an integer number (49318067400).

Almost surely, 2^{2232200010312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232200010312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156356313600).

2232200010312 is an abundant number, since it is smaller than the sum of its proper divisors (4080512616888).

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

2232200010312 is a wasteful number, since it uses less digits than its factorization.

2232200010312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282564 (or 282554 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2232200010312 its reverse (2130100022322), we get a palindrome (4362300032634).

The spelling of 2232200010312 in words is "two trillion, two hundred thirty-two billion, two hundred million, ten thousand, three hundred twelve".