212207635600 has 135 divisors (see below), whose sum is σ = 527515434489. Its totient is φ = 82034332800.

The previous prime is 212207635579. The next prime is 212207635741. The reversal of 212207635600 is 6536702212.

The square root of 212207635600 is 460660.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 76394748816 + 135812886784 = 276396^2 + 368528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 285608829 + ... + 285609571.

Almost surely, 2^212207635600 is an apocalyptic number.

212207635600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

212207635600 is the 460660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212207635600

212207635600 is an abundant number, since it is smaller than the sum of its proper divisors (315307798889).

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

212207635600 is an frugal number, since it uses more digits than its factorization.

212207635600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 212207635600 in words is "two hundred twelve billion, two hundred seven million, six hundred thirty-five thousand, six hundred".