4224123212100 has 576 divisors, whose sum is σ = 13968209977344. Its totient is φ = 976320000000.

The previous prime is 4224123212087. The next prime is 4224123212129. The reversal of 4224123212100 is 12123214224.

It is a super-2 number, since 2×4224123212100² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2345431200 + ... + 2345433000.

It is an arithmetic number, because the mean of its divisors is an integer number (24250364544).

Almost surely, 2^{4224123212100} 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 4224123212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6984104988672).

4224123212100 is an abundant number, since it is smaller than the sum of its proper divisors (9744086765244).

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

4224123212100 is a wasteful number, since it uses less digits than its factorization.

4224123212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4224123212100 its reverse (12123214224), we get a palindrome (4236246426324).

The spelling of 4224123212100 in words is "four trillion, two hundred twenty-four billion, one hundred twenty-three million, two hundred twelve thousand, one hundred".