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12211211020000 = 25545631084477
BaseRepresentation
bin1011000110110010010011…
…1001010010011011100000
31121020101021021212121112211
42301230210321102123200
53100032030010120000
641545430343131504
72400142123035016
oct261544471223340
947211237777484
1012211211020000
113988822303293
121452745a43b94
136a768757b5b5
143030509c08b6
151629957187ba
hexb1b24e526e0

12211211020000 has 120 divisors (see below), whose sum is σ = 30094798063176. Its totient is φ = 4875804096000.

The previous prime is 12211211019989. The next prime is 12211211020033. The reversal of 12211211020000 is 2011211221.

It is a super-2 number, since 2×122112110200002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10717762 + ... + 11802238.

Almost surely, 212211211020000 is an apocalyptic number.

12211211020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211211020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15047399031588).

12211211020000 is an abundant number, since it is smaller than the sum of its proper divisors (17883587043176).

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

12211211020000 is an equidigital number, since it uses as much as digits as its factorization.

12211211020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085070 (or 1085047 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12211211020000 its reverse (2011211221), we get a palindrome (12213222231221).

The spelling of 12211211020000 in words is "twelve trillion, two hundred eleven billion, two hundred eleven million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 563 625 800 1000 1126 1250 2000 2252 2500 2815 4000 4504 5000 5630 9008 10000 11260 14075 18016 20000 22520 28150 45040 56300 70375 90080 112600 140750 225200 281500 351875 450400 563000 703750 1084477 1126000 1407500 2168954 2252000 2815000 4337908 5422385 5630000 8675816 10844770 11260000 17351632 21689540 27111925 34703264 43379080 54223850 86758160 108447700 135559625 173516320 216895400 271119250 433790800 542238500 610560551 677798125 867581600 1084477000 1221121102 1355596250 2168954000 2442242204 2711192500 3052802755 4337908000 4884484408 5422385000 6105605510 9768968816 10844770000 12211211020 15264013775 19537937632 21689540000 24422422040 30528027550 48844844080 61056055100 76320068875 97689688160 122112110200 152640137750 244224220400 305280275500 381600344375 488448440800 610560551000 763200688750 1221121102000 1526401377500 2442242204000 3052802755000 6105605510000 12211211020000