210966969669012 has 144 divisors (see below), whose sum is σ = 565720289709120. Its totient is φ = 66060012911616.

The previous prime is 210966969669007. The next prime is 210966969669047.

210966969669012 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×210966969669012² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 698699818 + ... + 699001694.

It is an arithmetic number, because the mean of its divisors is an integer number (3928613122980).

Almost surely, 2^{210966969669012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210966969669012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282860144854560).

210966969669012 is an abundant number, since it is smaller than the sum of its proper divisors (354753320040108).

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

210966969669012 is a wasteful number, since it uses less digits than its factorization.

210966969669012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304070 (or 304065 counting only the distinct ones).

The product of its (nonzero) digits is 204073344, while the sum is 72.

The spelling of 210966969669012 in words is "two hundred ten trillion, nine hundred sixty-six billion, nine hundred sixty-nine million, six hundred sixty-nine thousand, twelve".