212111829136 has 45 divisors (see below), whose sum is σ = 415597240569. Its totient is φ = 104874127872.

The previous prime is 212111829133. The next prime is 212111829151. The reversal of 212111829136 is 631928111212.

The square root of 212111829136 is 460556.

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., 95246304400 + 116865524736 = 308620^2 + 341856^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212111829095 and 212111829104.

It is not an unprimeable number, because it can be changed into a prime (212111829133) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 178695135 + ... + 178696321.

Almost surely, 2^212111829136 is an apocalyptic number.

212111829136 is the 460556-th square number.

It is an amenable number.

212111829136 is a deficient number, since it is larger than the sum of its proper divisors (203485411433).

212111829136 is an frugal number, since it uses more digits than its factorization.

212111829136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 1286 counting only the distinct ones).

The product of its digits is 10368, while the sum is 37.

The spelling of 212111829136 in words is "two hundred twelve billion, one hundred eleven million, eight hundred twenty-nine thousand, one hundred thirty-six".