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12020020211262 = 23719557214312619
BaseRepresentation
bin1010111011101010000100…
…0010001110111000111110
31120120002202212122012200110
42232322201002032320332
53033414000133230022
641321530540410450
72350263210005250
oct256724102167076
946502685565613
1012020020211262
113914731058948
121421688546a26
13692638322b3b
142d7ab4845cd0
1515ca0583000c
hexaeea108ee3e

12020020211262 has 128 divisors (see below), whose sum is σ = 28988087500800. Its totient is φ = 3245925384576.

The previous prime is 12020020211261. The next prime is 12020020211299. The reversal of 12020020211262 is 26211202002021.

It is a super-2 number, since 2×120200202112622 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020020211261) 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 63 ways as a sum of consecutive naturals, for example, 952527189 + ... + 952539807.

It is an arithmetic number, because the mean of its divisors is an integer number (226469433600).

Almost surely, 212020020211262 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12020020211262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14494043750400).

12020020211262 is an abundant number, since it is smaller than the sum of its proper divisors (16968067289538).

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

12020020211262 is a wasteful number, since it uses less digits than its factorization.

12020020211262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15350.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12020020211262 its reverse (26211202002021), we get a palindrome (38231222213283).

The spelling of 12020020211262 in words is "twelve trillion, twenty billion, twenty million, two hundred eleven thousand, two hundred sixty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 557 798 1114 1671 2143 3342 3899 4286 6429 7798 10583 11697 12619 12858 15001 21166 23394 25238 30002 31749 37857 40717 45003 63498 74081 75714 81434 88333 90006 122151 148162 176666 222243 239761 244302 264999 285019 444486 479522 529998 570038 719283 855057 1193651 1438566 1678327 1710114 2387302 3356654 3580953 5034981 7028783 7161906 8355557 10069962 14057566 16711114 21086349 22679369 25066671 27042517 42172698 45358738 49201481 50133342 54085034 68038107 81127551 98402962 133546877 136076214 147604443 158755583 162255102 189297619 267093754 295208886 317511166 378595238 400640631 476266749 513807823 567892857 801281262 934828139 952533498 1027615646 1135785714 1541423469 1869656278 2804484417 3082846938 3596654761 5608968834 7193309522 10789964283 15062681969 21579928566 30125363938 45188045907 90376091814 105438773783 210877547566 286190957411 316316321349 572381914822 632632642698 858572872233 1717145744466 2003336701877 4006673403754 6010010105631 12020020211262