2231312210000 has 100 divisors (see below), whose sum is σ = 5403082000932. Its totient is φ = 892384128000.

The previous prime is 2231312209991. The next prime is 2231312210053. The reversal of 2231312210000 is 122131322.

It can be written as a sum of positive squares in 10 ways, for example, as 400876389904 + 1830435820096 = 633148^2 + 1352936^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×2231312210000³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 82956554 + ... + 82983446.

Almost surely, 2^{2231312210000} is an apocalyptic number.

2231312210000 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 2231312210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701541000466).

2231312210000 is an abundant number, since it is smaller than the sum of its proper divisors (3171769790932).

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

2231312210000 is an equidigital number, since it uses as much as digits as its factorization.

2231312210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35218 (or 35197 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2231312210000 its reverse (122131322), we get a palindrome (2231434341322).

The spelling of 2231312210000 in words is "two trillion, two hundred thirty-one billion, three hundred twelve million, two hundred ten thousand".