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12010212020100 = 2235275719148581
BaseRepresentation
bin1010111011000101100001…
…1010111100111110000100
31120112011110022210110211010
42232301120122330332010
53033233403234120400
641313225405042220
72346465151523610
oct256613032747604
946464408713733
1012010212020100
113910558641738
12141b7ab856370
136917342b2528
142d7423d72340
1515c62e70e450
hexaec586bcf84

12010212020100 has 72 divisors (see below), whose sum is σ = 39713767753408. Its totient is φ = 2745191318400.

The previous prime is 12010212020087. The next prime is 12010212020137. The reversal of 12010212020100 is 102021201021.

It is a super-4 number, since 4×120102120201004 (a number of 53 digits) contains 4444 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2859572191 + ... + 2859576390.

Almost surely, 212010212020100 is an apocalyptic number.

12010212020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010212020100 is an abundant number, since it is smaller than the sum of its proper divisors (27703555733308).

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

12010212020100 is a wasteful number, since it uses less digits than its factorization.

12010212020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5719148605 (or 5719148598 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12010212020100 its reverse (102021201021), we get a palindrome (12112233221121).

The spelling of 12010212020100 in words is "twelve trillion, ten billion, two hundred twelve million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 5719148581 11438297162 17157445743 22876594324 28595742905 34314891486 40034040067 57191485810 68629782972 80068080134 85787228715 114382971620 120102120201 142978714525 160136160268 171574457430 200170200335 240204240402 285957429050 343148914860 400340400670 428936143575 480408480804 571914858100 600510601005 800680801340 857872287150 1000851001675 1201021202010 1715744574300 2001702003350 2402042404020 3002553005025 4003404006700 6005106010050 12010212020100