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222120121221201 = 37292472137125219
BaseRepresentation
bin110010100000010001011110…
…111011000100000001010001
31002010110110212011012200220210
4302200101132323010001101
5213103204002013034301
62104224324111154333
764533435445355460
oct6240213673040121
91063413764180823
10222120121221201
11648576838515a5
1220ab444b2159a9
1396c2ab7155058
143cbc957bd09d7
151aa2cc2850ad6
hexca045eec4051

222120121221201 has 96 divisors (see below), whose sum is σ = 358171289948160. Its totient is φ = 119884522609152.

The previous prime is 222120121221181. The next prime is 222120121221209. The reversal of 222120121221201 is 102122121021222.

It is not a de Polignac number, because 222120121221201 - 210 = 222120121220177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (222120121221209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1773790570 + ... + 1773915788.

It is an arithmetic number, because the mean of its divisors is an integer number (3730950936960).

Almost surely, 2222120121221201 is an apocalyptic number.

222120121221201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

222120121221201 is a deficient number, since it is larger than the sum of its proper divisors (136051168726959).

222120121221201 is a wasteful number, since it uses less digits than its factorization.

222120121221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127471 (or 127442 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 222120121221201 its reverse (102122121021222), we get a palindrome (324242242242423).

The spelling of 222120121221201 in words is "two hundred twenty-two trillion, one hundred twenty billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred one".

Divisors: 1 3 7 21 29 47 87 141 203 329 609 841 987 1363 2137 2523 4089 5887 6411 9541 14959 17661 28623 39527 44877 61973 100439 118581 125219 185919 276689 301317 375657 433811 703073 830067 876533 1301433 1797217 2109219 2629599 2912731 3631351 5391651 5885293 8738193 10894053 12580519 17655879 20389117 25419457 37741557 41197051 61167351 76258371 84469199 105309179 123591153 170673497 253407597 267593003 315927537 512020491 591284393 737164253 802779009 1194714479 1773853179 1873151021 2211492759 3584143437 4949531413 5619453063 7760197087 12576871141 14848594239 23280591261 34646719891 37730613423 54321379609 88038097987 103940159673 162964138827 225045715523 264114293961 364729263089 675137146569 1094187789267 1575320008661 2553104841623 4725960025983 7659314524869 10577148629581 31731445888743 74040040407067 222120121221201