212124513143424 has 256 divisors, whose sum is σ = 670241445120000. Its totient is φ = 58158102933504.

The previous prime is 212124513143419. The next prime is 212124513143437. The reversal of 212124513143424 is 424341315421212.

It is a super-2 number, since 2×212124513143424² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4358877 + ... + 21053475.

It is an arithmetic number, because the mean of its divisors is an integer number (2618130645000).

Almost surely, 2^{212124513143424} is an apocalyptic number.

212124513143424 is a gapful number since it is divisible by the number (24) 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 212124513143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335120722560000).

212124513143424 is an abundant number, since it is smaller than the sum of its proper divisors (458116931976576).

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

212124513143424 is a wasteful number, since it uses less digits than its factorization.

212124513143424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16694815 (or 16694803 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

Adding to 212124513143424 its reverse (424341315421212), we get a palindrome (636465828564636).

The spelling of 212124513143424 in words is "two hundred twelve trillion, one hundred twenty-four billion, five hundred thirteen million, one hundred forty-three thousand, four hundred twenty-four".