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12012122121021 = 3211197990162207
BaseRepresentation
bin1010111011001100101001…
…0001011010001100111101
31120112100101102222122200200
42232303022101122030331
53033301311230333041
641314143121114113
72346563404233141
oct256631221321475
946470342878620
1012012122121021
113911348866840
121420043488939
13691979c41869
142d7565909221
1515c6e22651b6
hexaecca45a33d

12012122121021 has 48 divisors (see below), whose sum is σ = 19026501931008. Its totient is φ = 7242271344000.

The previous prime is 12012122120989. The next prime is 12012122121023.

12012122121021 is a `hidden beast` number, since 1 + 201 + 212 + 21 + 210 + 21 = 666.

12012122121021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12012122121021 - 25 = 12012122120989 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12012122120985 and 12012122121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012122121023) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 193068100 + ... + 193130306.

It is an arithmetic number, because the mean of its divisors is an integer number (396385456896).

Almost surely, 212012122121021 is an apocalyptic number.

12012122121021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12012122121021 is a deficient number, since it is larger than the sum of its proper divisors (7014379809987).

12012122121021 is a wasteful number, since it uses less digits than its factorization.

12012122121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72322 (or 72319 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 1201212 and 2121021, that added together give a palindrome (3322233).

The spelling of 12012122121021 in words is "twelve trillion, twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, twenty-one".

Divisors: 1 3 9 11 33 99 197 591 1773 2167 6501 9901 19503 29703 62207 89109 108911 186621 326733 559863 684277 980199 1950497 2052831 5851491 6158493 12254779 17554473 21455467 36764337 64366401 110293011 134802569 193099203 404407707 615911507 1213223121 1847734521 5543203563 6775026577 20325079731 60975239193 121334566879 364003700637 1092011101911 1334680235669 4004040707007 12012122121021