212623100 has 36 divisors (see below), whose sum is σ = 464480688. Its totient is φ = 84480000.

The previous prime is 212623069. The next prime is 212623111. The reversal of 212623100 is 1326212.

It is a super-2 number, since 2×212623100² = 90417165307220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8060 + ... + 22140.

Almost surely, 2^212623100 is an apocalyptic number.

212623100 is a gapful number since it is divisible by the number (20) 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 212623100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232240344).

212623100 is an abundant number, since it is smaller than the sum of its proper divisors (251857588).

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

212623100 is a wasteful number, since it uses less digits than its factorization.

212623100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14246 (or 14239 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 212623100 is about 14581.6014209688. The cubic root of 212623100 is about 596.8568033523.

Adding to 212623100 its reverse (1326212), we get a palindrome (213949312).

The spelling of 212623100 in words is "two hundred twelve million, six hundred twenty-three thousand, one hundred".