2221033233312 has 144 divisors (see below), whose sum is σ = 6368369559552. Its totient is φ = 734218007040.

The previous prime is 2221033233299. The next prime is 2221033233329. The reversal of 2221033233312 is 2133323301222.

2221033233312 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 0 + 3 + 323 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 102072738 + ... + 102094494.

It is an arithmetic number, because the mean of its divisors is an integer number (44224788608).

Almost surely, 2^{2221033233312} 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 2221033233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184184779776).

2221033233312 is an abundant number, since it is smaller than the sum of its proper divisors (4147336326240).

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

2221033233312 is a wasteful number, since it uses less digits than its factorization.

2221033233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24691 (or 24680 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2221033233312 its reverse (2133323301222), we get a palindrome (4354356534534).

The spelling of 2221033233312 in words is "two trillion, two hundred twenty-one billion, thirty-three million, two hundred thirty-three thousand, three hundred twelve".