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12205202121 = 337195636037
BaseRepresentation
bin10110101110111110…
…01001101011001001
31011111121020111202000
423113133021223021
5144444012431441
65335035501213
7611312335440
oct132737115311
934447214660
1012205202121
1151a3578002
1224475b7809
1311c68208b8
1483ad95d57
154b67a62b6
hex2d77c9ac9

12205202121 has 64 divisors (see below), whose sum is σ = 21794764800. Its totient is φ = 6594499008.

The previous prime is 12205202111. The next prime is 12205202203. The reversal of 12205202121 is 12120250221.

12205202121 is a `hidden beast` number, since 1 + 2 + 20 + 520 + 2 + 121 = 666.

It is not a de Polignac number, because 12205202121 - 25 = 12205202089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12205202094 and 12205202103.

It is not an unprimeable number, because it can be changed into a prime (12205202111) 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, 2018715 + ... + 2024751.

It is an arithmetic number, because the mean of its divisors is an integer number (340543200).

Almost surely, 212205202121 is an apocalyptic number.

It is an amenable number.

12205202121 is a deficient number, since it is larger than the sum of its proper divisors (9589562679).

12205202121 is a wasteful number, since it uses less digits than its factorization.

12205202121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6635 (or 6629 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 12205202121 its reverse (12120250221), we get a palindrome (24325452342).

The spelling of 12205202121 in words is "twelve billion, two hundred five million, two hundred two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 399 513 563 1197 1689 3591 3941 5067 6037 10697 11823 15201 18111 32091 35469 42259 54333 74879 96273 106407 114703 126777 162999 224637 288819 344109 380331 673911 802921 1032327 1140993 2021733 2408763 3096981 3398831 7226289 10196493 21678867 23791817 30589479 64577789 71375451 91768437 193733367 214126353 452044523 581200101 642379059 1356133569 1743600303 4068400707 12205202121