211212133001000 has 64 divisors (see below), whose sum is σ = 494352610062480. Its totient is φ = 84464986732800.

The previous prime is 211212133000969. The next prime is 211212133001011. The reversal of 211212133001000 is 100331212112.

It can be written as a sum of positive squares in 8 ways, for example, as 9340492913284 + 201871640087716 = 3056222^2 + 14208154^2 .

It is a super-2 number, since 2×211212133001000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211212133001000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20577959 + ... + 29083958.

Almost surely, 2^{211212133001000} is an apocalyptic number.

211212133001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212133001000 is an abundant number, since it is smaller than the sum of its proper divisors (283140477061480).

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

211212133001000 is a wasteful number, since it uses less digits than its factorization.

211212133001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49666191 (or 49666177 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 211212133001000 its reverse (100331212112), we get a palindrome (211312464213112).

The spelling of 211212133001000 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred thirty-three million, one thousand".