121143422224224 has 384 divisors, whose sum is σ = 364798909440000. Its totient is φ = 39091998726144.

The previous prime is 121143422224151. The next prime is 121143422224229. The reversal of 121143422224224 is 422422224341121.

121143422224224 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 4 + 3 + 4 + 2 + 222 + 422 + 4 = 666.

It is a super-3 number, since 3×121143422224224³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121143422224229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1446049602 + ... + 1446133374.

It is an arithmetic number, because the mean of its divisors is an integer number (949997160000).

Almost surely, 2^{121143422224224} 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 121143422224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182399454720000).

121143422224224 is an abundant number, since it is smaller than the sum of its proper divisors (243655487215776).

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

121143422224224 is a wasteful number, since it uses less digits than its factorization.

121143422224224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84227 (or 84213 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 121143422224224 its reverse (422422224341121), we get a palindrome (543565646565345).

The spelling of 121143422224224 in words is "one hundred twenty-one trillion, one hundred forty-three billion, four hundred twenty-two million, two hundred twenty-four thousand, two hundred twenty-four".