Search a number
-
+
12001011100212 = 223109116320113923
BaseRepresentation
bin1010111010100011010000…
…0000001110101000110100
31120111021201002122022112110
42232220310000032220310
53033111032320201322
641305104405251020
72346021146144361
oct256506400165064
946437632568473
1012001011100212
11390766699a412
121419a62403a70
136908c9015334
142d6bcddb9468
1515c291a95c0c
hexaea3400ea34

12001011100212 has 96 divisors (see below), whose sum is σ = 28304837890560. Its totient is φ = 3957250308480.

The previous prime is 12001011100193. The next prime is 12001011100213. The reversal of 12001011100212 is 21200111010021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001011100213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3059139283 + ... + 3059143205.

It is an arithmetic number, because the mean of its divisors is an integer number (294842061360).

Almost surely, 212001011100212 is an apocalyptic number.

12001011100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12001011100212 is an abundant number, since it is smaller than the sum of its proper divisors (16303826790348).

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

12001011100212 is a wasteful number, since it uses less digits than its factorization.

12001011100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7213 (or 7211 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12001011100212 its reverse (21200111010021), we get a palindrome (33201122110233).

The spelling of 12001011100212 in words is "twelve trillion, one billion, eleven million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 109 218 327 436 654 1163 1308 2011 2326 3489 3923 4022 4652 6033 6978 7846 8044 11769 12066 13956 15692 23538 24132 47076 126767 219199 253534 380301 427607 438398 507068 657597 760602 855214 876796 1282821 1315194 1521204 1710428 2338793 2565642 2630388 4562449 4677586 5131284 7016379 7889153 9124898 9355172 13687347 14032758 15778306 18249796 23667459 27374694 28065516 31556612 47334918 54749388 94669836 254928437 497306941 509856874 764785311 859917677 994613882 1019713748 1491920823 1529570622 1719835354 1989227764 2579753031 2983841646 3059141244 3439670708 5159506062 5967683292 9175084939 10319012124 18350169878 27525254817 36700339756 55050509634 110101019268 1000084258351 2000168516702 3000252775053 4000337033404 6000505550106 12001011100212