2221122132000 has 288 divisors, whose sum is σ = 7895700212400. Its totient is φ = 591327129600.

The previous prime is 2221122131989. The next prime is 2221122132007. The reversal of 2221122132000 is 2312211222.

2221122132000 is a `hidden beast` number, since 2 + 221 + 122 + 1 + 320 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4799164176 + 2216322967824 = 69276^2 + 1488732^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 (2221122132007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22017676 + ... + 22118324.

Almost surely, 2^{2221122132000} is an apocalyptic number.

2221122132000 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 2221122132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947850106200).

2221122132000 is an abundant number, since it is smaller than the sum of its proper divisors (5674578080400).

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

2221122132000 is a wasteful number, since it uses less digits than its factorization.

2221122132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101293 (or 101272 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2221122132000 its reverse (2312211222), we get a palindrome (2223434343222).

The spelling of 2221122132000 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred thirty-two thousand".