422121000121224 has 64 divisors (see below), whose sum is σ = 1083842660913600. Its totient is φ = 136901774916864.

The previous prime is 422121000121157. The next prime is 422121000121229.

422121000121224 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×422121000121224³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 422121000121194 and 422121000121203.

It is not an unprimeable number, because it can be changed into a prime (422121000121229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48465822 + ... + 56508210.

It is an arithmetic number, because the mean of its divisors is an integer number (16935041576775).

Almost surely, 2^{422121000121224} is an apocalyptic number.

It is an amenable number.

422121000121224 is an abundant number, since it is smaller than the sum of its proper divisors (661721660792376).

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

422121000121224 is a wasteful number, since it uses less digits than its factorization.

422121000121224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8101542 (or 8101538 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 422121000 and 121224, that added together give a palindrome (422242224).

The spelling of 422121000121224 in words is "four hundred twenty-two trillion, one hundred twenty-one billion, one hundred twenty-one thousand, two hundred twenty-four".