212241400 has 192 divisors, whose sum is σ = 607104000. Its totient is φ = 67392000.

The previous prime is 212241397. The next prime is 212241427. The reversal of 212241400 is 4142212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2101350 + ... + 2101450.

It is an arithmetic number, because the mean of its divisors is an integer number (3162000).

Almost surely, 2^212241400 is an apocalyptic number.

212241400 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 212241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303552000).

212241400 is an abundant number, since it is smaller than the sum of its proper divisors (394862600).

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

212241400 is a wasteful number, since it uses less digits than its factorization.

212241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 212241400 is about 14568.5071301077. The cubic root of 212241400 is about 596.4994312304.

Adding to 212241400 its reverse (4142212), we get a palindrome (216383612).

The spelling of 212241400 in words is "two hundred twelve million, two hundred forty-one thousand, four hundred".