212100024 has 64 divisors (see below), whose sum is σ = 569894400. Its totient is φ = 65539584.

The previous prime is 212100023. The next prime is 212100067. The reversal of 212100024 is 420001212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 212099982 and 212100009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23457 + ... + 31215.

It is an arithmetic number, because the mean of its divisors is an integer number (8904600).

Almost surely, 2^212100024 is an apocalyptic number.

212100024 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 212100024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284947200).

212100024 is an abundant number, since it is smaller than the sum of its proper divisors (357794376).

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

212100024 is a wasteful number, since it uses less digits than its factorization.

212100024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7852 (or 7848 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 212100024 is about 14563.6542117698. The cubic root of 212100024 is about 596.3669571780.

Adding to 212100024 its reverse (420001212), we get a palindrome (632101236).

The spelling of 212100024 in words is "two hundred twelve million, one hundred thousand, twenty-four".