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12221112012210 = 2335109724757301
BaseRepresentation
bin1011000111010111001100…
…0010100100110110110010
31121021022211022100010112000
42301311303002210312302
53100212314133342320
641554145031514430
72400642356056353
oct261656302446662
947238738303460
1012221112012210
113991a43144282
121454649828a16
136a85a48b1a7a
1430370d92dd2a
15162d74a6ac90
hexb1d730a4db2

12221112012210 has 128 divisors (see below), whose sum is σ = 32893731763200. Its totient is φ = 3228562540800.

The previous prime is 12221112012169. The next prime is 12221112012211. The reversal of 12221112012210 is 1221021112221.

12221112012210 is a `hidden beast` number, since 12 + 221 + 11 + 201 + 221 + 0 = 666.

12221112012210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (12221112012211) 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, 213250560 + ... + 213307860.

It is an arithmetic number, because the mean of its divisors is an integer number (256982279400).

Almost surely, 212221112012210 is an apocalyptic number.

12221112012210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221112012210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16446865881600).

12221112012210 is an abundant number, since it is smaller than the sum of its proper divisors (20672619750990).

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

12221112012210 is a wasteful number, since it uses less digits than its factorization.

12221112012210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64673 (or 64667 counting only the distinct ones).

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

Adding to 12221112012210 its reverse (1221021112221), we get a palindrome (13442133124431).

The spelling of 12221112012210 in words is "twelve trillion, two hundred twenty-one billion, one hundred twelve million, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 109 135 218 270 327 545 654 981 1090 1635 1962 2943 3270 4905 5886 7247 9810 14494 14715 21741 29430 36235 43482 57301 65223 72470 108705 114602 130446 171903 195669 217410 286505 326115 343806 391338 515709 573010 652230 789923 859515 978345 1031418 1547127 1579846 1719030 1956690 2369769 2578545 3094254 3949615 4739538 5157090 6245809 7109307 7735635 7899230 11848845 12491618 14218614 15471270 18737427 21327921 23697690 31229045 35546535 37474854 42655842 56212281 62458090 71093070 93687135 106639605 112424562 168636843 187374270 213279210 281061405 337273686 415260347 562122810 830520694 843184215 1245781041 1686368430 2076301735 2491562082 3737343123 4152603470 6228905205 7474686246 11212029369 12457810410 18686715615 22424058738 37373431230 45263377823 56060146845 90526755646 112120293690 135790133469 226316889115 271580266938 407370400407 452633778230 678950667345 814740800814 1222111201221 1357901334690 2036852002035 2444222402442 4073704004070 6110556006105 12221112012210