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121000201212220 = 2251112711233856381
BaseRepresentation
bin11011100000110010001110…
…000000101101000100111100
3120212102111200001211002200221
4123200302032000231010330
5111324431403002242340
61105202420340031124
734325655533206561
oct3340621600550474
9525374601732627
10121000201212220
113561099612a8a0
12116a27966924a4
1352693682b54a5
1421c46260d2868
15dec75d8b544a
hex6e0c8e02d13c

121000201212220 has 96 divisors (see below), whose sum is σ = 279631997116416. Its totient is φ = 43614732268800.

The previous prime is 121000201212167. The next prime is 121000201212221. The reversal of 121000201212220 is 22212102000121.

It is a happy number.

121000201212220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 121000201212194 and 121000201212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121000201212221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29448430 + ... + 33304810.

It is an arithmetic number, because the mean of its divisors is an integer number (2912833303296).

Almost surely, 2121000201212220 is an apocalyptic number.

121000201212220 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 121000201212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139815998558208).

121000201212220 is an abundant number, since it is smaller than the sum of its proper divisors (158631795904196).

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

121000201212220 is a wasteful number, since it uses less digits than its factorization.

121000201212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3857651 (or 3857649 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121000201212220 its reverse (22212102000121), we get a palindrome (143212303212341).

The spelling of 121000201212220 in words is "one hundred twenty-one trillion, two hundred one million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 127 220 254 508 635 1123 1270 1397 2246 2540 2794 4492 5588 5615 6985 11230 12353 13970 22460 24706 27940 49412 61765 123530 142621 247060 285242 570484 713105 1426210 1568831 2852420 3137662 3856381 6275324 7712762 7844155 15425524 15688310 19281905 31376620 38563810 42420191 77127620 84840382 169680764 212100955 424201910 489760387 848403820 979520774 1959041548 2448801935 4330715863 4897603870 5387364257 8661431726 9795207740 10774728514 17322863452 21549457028 21653579315 26936821285 43307158630 47637874493 53873642570 86614317260 95275748986 107747285140 190551497972 238189372465 476378744930 550000914601 952757489860 1100001829202 2200003658404 2750004573005 5500009146010 6050010060611 11000018292020 12100020121222 24200040242444 30250050303055 60500100606110 121000201212220