221124444421122 has 288 divisors, whose sum is σ = 575632788612336. Its totient is φ = 61043306987520.

The previous prime is 221124444421121. The next prime is 221124444421123.

221124444421122 is a `hidden beast` number, since 2 + 21 + 12 + 44 + 44 + 421 + 122 = 666.

221124444421122 is nontrivially palindromic in base 10.

221124444421122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221124444421121) and next prime (221124444421123).

It can be written as a sum of positive squares in 8 ways, for example, as 190699832166921 + 30424612254201 = 13809411^2 + 5515851^2 .

It is not an unprimeable number, because it can be changed into a prime (221124444421121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 263984508 + ... + 264820824.

Almost surely, 2^{221124444421122} is an apocalyptic number.

221124444421122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221124444421122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287816394306168).

221124444421122 is an abundant number, since it is smaller than the sum of its proper divisors (354508344191214).

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

221124444421122 is a wasteful number, since it uses less digits than its factorization.

221124444421122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836594 (or 836580 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The spelling of 221124444421122 in words is "two hundred twenty-one trillion, one hundred twenty-four billion, four hundred forty-four million, four hundred twenty-one thousand, one hundred twenty-two".