2133221104000 has 512 divisors, whose sum is σ = 6286589337600. Its totient is φ = 704443392000.

The previous prime is 2133221103913. The next prime is 2133221104013. The reversal of 2133221104000 is 4011223312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 795086659 + ... + 795089341.

It is an arithmetic number, because the mean of its divisors is an integer number (12278494800).

Almost surely, 2^{2133221104000} is an apocalyptic number.

2133221104000 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 2133221104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143294668800).

2133221104000 is an abundant number, since it is smaller than the sum of its proper divisors (4153368233600).

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

2133221104000 is a wasteful number, since it uses less digits than its factorization.

2133221104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2133221104000 its reverse (4011223312), we get a palindrome (2137232327312).

The spelling of 2133221104000 in words is "two trillion, one hundred thirty-three billion, two hundred twenty-one million, one hundred four thousand".