212100775936 has 153 divisors (see below), whose sum is σ = 495382713429. Its totient is φ = 90546634752.

The previous prime is 212100775907. The next prime is 212100775967. The reversal of 212100775936 is 639577001212.

The square root of 212100775936 is 460544.

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., 208812441600 + 3288334336 = 456960^2 + 57344^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212100775892 and 212100775901.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 825294720 + ... + 825294976.

Almost surely, 2^212100775936 is an apocalyptic number.

212100775936 is the 460544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212100775936

212100775936 is an abundant number, since it is smaller than the sum of its proper divisors (283281937493).

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

212100775936 is an frugal number, since it uses more digits than its factorization.

212100775936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 43.

It can be divided in two parts, 212100 and 775936, that added together give a square (988036 = 994²).

The spelling of 212100775936 in words is "two hundred twelve billion, one hundred million, seven hundred seventy-five thousand, nine hundred thirty-six".