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12010211012120 = 2354369709100169
BaseRepresentation
bin1010111011000101100001…
…0111000110111000011000
31120112011110020220021010112
42232301120113012320120
53033233403004341440
641313225331303452
72346465140125106
oct256613027067030
946464406807115
1012010211012120
1139105580133a2
12141b7ab44ab88
1369173401b7a9
142d7423b8cc76
1515c62e5b0965
hexaec585c6e18

12010211012120 has 64 divisors (see below), whose sum is σ = 27652088772000. Its totient is φ = 4692247354368.

The previous prime is 12010211012117. The next prime is 12010211012123. The reversal of 12010211012120 is 2121011201021.

It is an interprime number because it is at equal distance from previous prime (12010211012117) and next prime (12010211012123).

It is a super-3 number, since 3×120102110121203 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12010211012095 and 12010211012104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010211012123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119849396 + ... + 119949564.

Almost surely, 212010211012120 is an apocalyptic number.

12010211012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010211012120 is an abundant number, since it is smaller than the sum of its proper divisors (15641877759880).

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

12010211012120 is a wasteful number, since it uses less digits than its factorization.

12010211012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169932 (or 169928 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12010211012120 its reverse (2121011201021), we get a palindrome (14131222213141).

The spelling of 12010211012120 in words is "twelve trillion, ten billion, two hundred eleven million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 69709 100169 139418 200338 278836 348545 400676 500845 557672 697090 801352 1001690 1394180 2003380 2788360 2997487 4006760 4307267 5994974 8614534 11989948 14987435 17229068 21536335 23979896 29974870 34458136 43072670 59949740 86145340 119899480 172290680 6982680821 13965361642 27930723284 34913404105 55861446568 69826808210 139653616420 279307232840 300255275303 600510550606 1201021101212 1501276376515 2402042202424 3002552753030 6005105506060 12010211012120