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21121212012200 = 2352731446658357
BaseRepresentation
bin1001100110101101010100…
…10101101101011010101000
32202210011112120200010210222
410303112222111231122220
510232022220233342300
6112530541214425212
74306646215621406
oct463265225553250
982704476603728
1021121212012200
116803501608823
122451523202208
13ba294c8a5801
145303b4986476
15269627bb2785
hex1335aa56d6a8

21121212012200 has 48 divisors (see below), whose sum is σ = 49779514098780. Its totient is φ = 8332752130560.

The previous prime is 21121212012193. The next prime is 21121212012203. The reversal of 21121212012200 is 221021212112.

It can be written as a sum of positive squares in 6 ways, for example, as 14769310003396 + 6351902008804 = 3843086^2 + 2520298^2 .

It is a super-2 number, since 2×211212120122002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21121212012203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 723314579 + ... + 723343778.

Almost surely, 221121212012200 is an apocalyptic number.

21121212012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121212012200 is an abundant number, since it is smaller than the sum of its proper divisors (28658302086580).

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

21121212012200 is a wasteful number, since it uses less digits than its factorization.

21121212012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446658446 (or 1446658437 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21121212012200 its reverse (221021212112), we get a palindrome (21342233224312).

The spelling of 21121212012200 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred twelve million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1825 2920 3650 7300 14600 1446658357 2893316714 5786633428 7233291785 11573266856 14466583570 28933167140 36166458925 57866334280 72332917850 105606060061 144665835700 211212120122 289331671400 422424240244 528030300305 844848480488 1056060600610 2112121201220 2640151501525 4224242402440 5280303003050 10560606006100 21121212012200