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12010111101021 = 31173137361710061
BaseRepresentation
bin1010111011000101001001…
…1001111110100001011101
31120112011012021220020212110
42232301102121332201131
53033233201420213041
641313211402024233
72346462514653105
oct256612231764135
946464167806773
1012010111101021
113910506682740
12141b781aa8079
136917194095b7
142d74147c2205
1515c625927516
hexaec5267e85d

12010111101021 has 64 divisors (see below), whose sum is σ = 17844521999616. Its totient is φ = 7124063846400.

The previous prime is 12010111100957. The next prime is 12010111101031.

12010111101021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12010111101021 - 26 = 12010111100957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12010111100988 and 12010111101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010111101031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1193724331 + ... + 1193734391.

It is an arithmetic number, because the mean of its divisors is an integer number (278820656244).

Almost surely, 212010111101021 is an apocalyptic number.

12010111101021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12010111101021 is a deficient number, since it is larger than the sum of its proper divisors (5834410898595).

12010111101021 is a wasteful number, since it uses less digits than its factorization.

12010111101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13902.

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 1201011 and 1101021, that multiplied together give a palindrome (1322338332231).

The spelling of 12010111101021 in words is "twelve trillion, ten billion, one hundred eleven million, one hundred one thousand, twenty-one".

Divisors: 1 3 11 33 73 137 219 411 803 1507 2409 3617 4521 10001 10061 10851 30003 30183 39787 110011 110671 119361 264041 330033 332013 495529 734453 792123 1378357 1486587 2203359 2904451 4135071 5450819 8078983 8713353 15161927 16352457 24236949 36173617 36390637 45485781 100620061 108520851 109171911 301860183 397909787 400297007 1106820671 1193729361 1200891021 2656516501 3320462013 4985517269 7969549503 14956551807 29221681511 54840689959 87665044533 164522069877 363942760637 1091828281911 4003370367007 12010111101021