212112750249 has 45 divisors (see below), whose sum is σ = 321718733589. Its totient is φ = 139272436800.

The previous prime is 212112750229. The next prime is 212112750257. The reversal of 212112750249 is 942057211212.

It is a happy number.

The square root of 212112750249 is 460557.

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

212112750249 is a `hidden beast` number, since 2 + 1 + 21 + 127 + 502 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44068505625 + 168044244624 = 209925^2 + 409932^2 .

It is not a de Polignac number, because 212112750249 - 2⁷ = 212112750121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212112750229) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 302585599 + ... + 302586299.

Almost surely, 2^212112750249 is an apocalyptic number.

212112750249 is the 460557-th square number.

212112750249 is the 230279-th centered octagonal number.

It is an amenable number.

212112750249 is a deficient number, since it is larger than the sum of its proper divisors (109605983340).

212112750249 is an frugal number, since it uses more digits than its factorization.

212112750249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 212112750249 by its sum of digits (36), we get a square (7636059008964 = 2763342²).

It can be divided in two parts, 212112 and 750249, that added together give a square (962361 = 981²).

The spelling of 212112750249 in words is "two hundred twelve billion, one hundred twelve million, seven hundred fifty thousand, two hundred forty-nine".