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12221120201202 = 23311227619914621
BaseRepresentation
bin1011000111010111001110…
…0001110100000111110010
31121021022211212202011201000
42301311303201310013302
53100212323232414302
641554145523222430
72400642515504103
oct261656341640762
947238755664630
1012221120201202
113991a47827840
121454650517a16
136a85a64bb223
14303710a623aa
15162d7563731c
hexb1d738741f2

12221120201202 has 128 divisors (see below), whose sum is σ = 29764309248000. Its totient is φ = 3686208436800.

The previous prime is 12221120201197. The next prime is 12221120201203. The reversal of 12221120201202 is 20210202112221.

It is a happy number.

12221120201202 is a `hidden beast` number, since 122 + 21 + 120 + 201 + 202 = 666.

It is a super-2 number, since 2×122211202012022 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12221120201203) 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, 835853452 + ... + 835868072.

It is an arithmetic number, because the mean of its divisors is an integer number (232533666000).

Almost surely, 212221120201202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221120201202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14882154624000).

12221120201202 is an abundant number, since it is smaller than the sum of its proper divisors (17543189046798).

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

12221120201202 is a wasteful number, since it uses less digits than its factorization.

12221120201202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21069 (or 21063 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12221120201202 its reverse (20210202112221), we get a palindrome (32431322313423).

The spelling of 12221120201202 in words is "twelve trillion, two hundred twenty-one billion, one hundred twenty million, two hundred one thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 227 297 454 594 681 1362 2043 2497 4086 4994 6129 6199 7491 12258 12398 14621 14982 18597 22473 29242 37194 43863 44946 55791 67419 68189 87726 111582 131589 134838 136378 160831 167373 204567 263178 321662 334746 394767 409134 482493 613701 789534 964986 1227402 1407173 1447479 1841103 2814346 2894958 3318967 3682206 4221519 4342437 6637934 8443038 8684874 9956901 12664557 15478903 19913802 25329114 29870703 30957806 36508637 37993671 46436709 59741406 73017274 75987342 89612109 90635579 92873418 109525911 139310127 179224218 181271158 219051822 271906737 278620254 328577733 417930381 543813474 657155466 815720211 835860762 985733199 996991369 1631440422 1971466398 1993982738 2447160633 2990974107 4894321266 5981948214 8972922321 17945844642 20574276433 26918766963 41148552866 53837533926 61722829299 123445658598 185168487897 226317040763 370336975794 452634081526 555505463691 678951122289 1111010927382 1357902244578 2036853366867 4073706733734 6110560100601 12221120201202