212721600 has 336 divisors, whose sum is σ = 860722688. Its totient is φ = 44789760.

The previous prime is 212721589. The next prime is 212721601. The reversal of 212721600 is 6127212.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212721601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436557 + ... + 437043.

Almost surely, 2^212721600 is an apocalyptic number.

212721600 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 212721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430361344).

212721600 is an abundant number, since it is smaller than the sum of its proper divisors (648001088).

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

212721600 is a wasteful number, since it uses less digits than its factorization.

212721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 212721600 is about 14584.9785738615. The cubic root of 212721600 is about 596.9489559595.

Adding to 212721600 its reverse (6127212), we get a palindrome (218848812).

It can be divided in two parts, 21 and 2721600, that multiplied together give a square (57153600 = 7560²).

The spelling of 212721600 in words is "two hundred twelve million, seven hundred twenty-one thousand, six hundred".