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11212102002120 = 23354011114920899
BaseRepresentation
bin1010001100101000010101…
…0110110110010111001000
31110200212101122222202202120
42203022011112312113020
52432144341103031440
635502434001331240
72235022224355335
oct243120526662710
943625348882676
1011212102002120
113633031310458
121310b92336b20
136343b1a6c916
142aa950a2798c
151469bc2ebdd0
hexa32855b65c8

11212102002120 has 128 divisors (see below), whose sum is σ = 33724825200000. Its totient is φ = 2982027571200.

The previous prime is 11212102002071. The next prime is 11212102002137. The reversal of 11212102002120 is 2120020121211.

It is a super-2 number, since 2×112121020021202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11212102002120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536479431 + ... + 536500329.

It is an arithmetic number, because the mean of its divisors is an integer number (263475196875).

Almost surely, 211212102002120 is an apocalyptic number.

11212102002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212102002120 is an abundant number, since it is smaller than the sum of its proper divisors (22512723197880).

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

11212102002120 is a wasteful number, since it uses less digits than its factorization.

11212102002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32463 (or 32459 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11212102002120 its reverse (2120020121211), we get a palindrome (13332122123331).

The spelling of 11212102002120 in words is "eleven trillion, two hundred twelve billion, one hundred two million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 401 802 1203 1604 2005 2406 3208 4010 4812 6015 8020 9624 11149 12030 16040 20899 22298 24060 33447 41798 44596 48120 55745 62697 66894 83596 89192 104495 111490 125394 133788 167192 167235 208990 222980 250788 267576 313485 334470 417980 445960 501576 626970 668940 835960 1253940 1337880 2507880 4470749 8380499 8941498 13412247 16760998 17882996 22353745 25141497 26824494 33521996 35765992 41902495 44707490 50282994 53648988 67043992 67061235 83804990 89414980 100565988 107297976 125707485 134122470 167609980 178829960 201131976 233002951 251414970 268244940 335219960 466005902 502829940 536489880 699008853 932011804 1005659880 1165014755 1398017706 1864023608 2330029510 2796035412 3495044265 4660059020 5592070824 6990088530 9320118040 13980177060 27960354120 93434183351 186868366702 280302550053 373736733404 467170916755 560605100106 747473466808 934341833510 1121210200212 1401512750265 1868683667020 2242420400424 2803025500530 3737367334040 5606051001060 11212102002120