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12202021122120 = 23325171993794301
BaseRepresentation
bin1011000110010000000100…
…1000100111000001001000
31121012111112211110102121200
42301210001020213001020
53044404214401401440
641541310415504200
72366365313142564
oct261440110470110
947174484412550
1012202021122120
1139849368a9a65
121450a00228060
136a68516701bb
1430281c2966a4
15162608a2ac30
hexb1901227048

12202021122120 has 96 divisors (see below), whose sum is σ = 41989308000120. Its totient is φ = 3062468044800.

The previous prime is 12202021122097. The next prime is 12202021122169. The reversal of 12202021122120 is 2122112020221.

It is a happy number.

12202021122120 is a `hidden beast` number, since 1 + 220 + 20 + 211 + 2 + 212 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12201062972004 + 958150116 = 3493002^2 + 30954^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12202021122093 and 12202021122102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 996891031 + ... + 996903270.

Almost surely, 212202021122120 is an apocalyptic number.

12202021122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12202021122120 is an abundant number, since it is smaller than the sum of its proper divisors (29787286878000).

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

12202021122120 is a wasteful number, since it uses less digits than its factorization.

12202021122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993794335 (or 1993794328 counting only the distinct ones).

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

Adding to 12202021122120 its reverse (2122112020221), we get a palindrome (14324133142341).

The spelling of 12202021122120 in words is "twelve trillion, two hundred two billion, twenty-one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 1993794301 3987588602 5981382903 7975177204 9968971505 11962765806 15950354408 17944148709 19937943010 23925531612 29906914515 33894503117 35888297418 39875886020 47851063224 59813829030 67789006234 71776594836 79751772040 89720743545 101683509351 119627658060 135578012468 143553189672 169472515585 179441487090 203367018702 239255316120 271156024936 305050528053 338945031170 358882974180 406734037404 508417546755 610101056106 677890062340 717765948360 813468074808 1016835093510 1220202112212 1355780124680 1525252640265 2033670187020 2440404224424 3050505280530 4067340374040 6101010561060 12202021122120