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12202202220201 = 3371213149935507
BaseRepresentation
bin1011000110010000101111…
…1011011100011010101001
31121012112000110020011111000
42301210023323130122221
53044410102232021301
641541340405225213
72366402642353410
oct261441373343251
947175013204430
1012202202220201
113984a1a0516a4
121450a50a02209
136a6880039b26
14302838358477
1516261989e786
hexb190bedc6a9

12202202220201 has 64 divisors (see below), whose sum is σ = 20691221760000. Its totient is φ = 6962094877248.

The previous prime is 12202202220191. The next prime is 12202202220211. The reversal of 12202202220201 is 10202220220221.

12202202220201 is a `hidden beast` number, since 1 + 2 + 20 + 220 + 2 + 220 + 201 = 666.

It is an interprime number because it is at equal distance from previous prime (12202202220191) and next prime (12202202220211).

It is not a de Polignac number, because 12202202220201 - 29 = 12202202219689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12202202220211) 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, 343638490 + ... + 343673996.

It is an arithmetic number, because the mean of its divisors is an integer number (323300340000).

Almost surely, 212202202220201 is an apocalyptic number.

It is an amenable number.

12202202220201 is a deficient number, since it is larger than the sum of its proper divisors (8489019539799).

12202202220201 is a wasteful number, since it uses less digits than its factorization.

12202202220201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38235 (or 38229 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12202202220201 its reverse (10202220220221), we get a palindrome (22404422440422).

The spelling of 12202202220201 in words is "twelve trillion, two hundred two billion, two hundred two million, two hundred twenty thousand, two hundred one".

Divisors: 1 3 7 9 21 27 63 189 1213 1499 3639 4497 8491 10493 10917 13491 25473 31479 32751 35507 40473 76419 94437 106521 229257 248549 283311 319563 745647 958689 1818287 2236941 5454861 6710823 12728009 16364583 38184027 43069991 49093749 53224993 114552081 129209973 159674979 301489937 343656243 372574951 387629919 479024937 904469811 1117724853 1162889757 1437074811 2713409433 3353174559 8140228299 10059523677 64561916509 193685749527 451933415563 581057248581 1355800246689 1743171745743 4067400740067 12202202220201