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12100021223213 = 72111311975091709
BaseRepresentation
bin1011000000010100000101…
…1101110111111100101101
31120211202021021122200211002
42300011001131313330231
53041221320413120323
641422401212010045
72356124543253200
oct260050135677455
946752237580732
1012100021223213
113945654596250
121435094760925
1369a047720431
142db9037a5937
1515eb38e4d828
hexb0141777f2d

12100021223213 has 96 divisors (see below), whose sum is σ = 15590552630400. Its totient is φ = 9285393062400.

The previous prime is 12100021223177. The next prime is 12100021223281. The reversal of 12100021223213 is 31232212000121.

It is not a de Polignac number, because 12100021223213 - 210 = 12100021222189 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100021223413) 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 95 ways as a sum of consecutive naturals, for example, 7080175403 + ... + 7080177111.

It is an arithmetic number, because the mean of its divisors is an integer number (162401589900).

Almost surely, 212100021223213 is an apocalyptic number.

It is an amenable number.

12100021223213 is a deficient number, since it is larger than the sum of its proper divisors (3490531407187).

12100021223213 is a wasteful number, since it uses less digits than its factorization.

12100021223213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12100021223213 its reverse (31232212000121), we get a palindrome (43332233223334).

The spelling of 12100021223213 in words is "twelve trillion, one hundred billion, twenty-one million, two hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 7 11 49 77 131 197 509 539 917 1379 1441 1709 2167 3563 5599 6419 9653 10087 11963 15169 18799 24941 25807 39193 66679 70609 83741 100273 106183 131593 180649 223879 274351 283877 336673 466753 701911 733469 869881 921151 1103003 1264543 1567153 1987139 2356711 2462669 3267271 3703403 4913377 5134283 6089167 7721021 9568691 10970071 13135763 13909973 16496977 17238683 25923821 35939981 42624169 44104163 54047147 66980837 91950341 113954411 120670781 144493393 171366557 181466747 308729141 468865859 485145793 643652387 797680877 1011453751 1199565899 1253498521 1885032127 2161103987 3396020551 5583766139 7080176257 8396961293 8774489647 13195224889 22449018967 23772143857 61421427529 92366574223 157143132769 246939208637 1100001929383 1728574460459 12100021223213