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21222111212001 = 3372114431401809
BaseRepresentation
bin1001101001101001010000…
…11001100111000111100001
32210010210222102022120022000
410310310220121213013201
510240200340432241001
6113045145302434213
74320150461643600
oct464645031470741
983123872276260
1021222111212001
116842279579a57
122468ba2132969
13bac30c78b62b
145352271d5a37
1526c080d1ba86
hex134d286671e1

21222111212001 has 48 divisors (see below), whose sum is σ = 36576475099200. Its totient is φ = 12125852274816.

The previous prime is 21222111211991. The next prime is 21222111212009. The reversal of 21222111212001 is 10021211122212.

21222111212001 is a `hidden beast` number, since 212 + 221 + 11 + 21 + 200 + 1 = 666.

It is not a de Polignac number, because 21222111212001 - 218 = 21222110949857 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21222111212009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14438185 + ... + 15839993.

It is an arithmetic number, because the mean of its divisors is an integer number (762009897900).

Almost surely, 221222111212001 is an apocalyptic number.

21222111212001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21222111212001 is a deficient number, since it is larger than the sum of its proper divisors (15354363887199).

21222111212001 is a wasteful number, since it uses less digits than its factorization.

21222111212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413275 (or 1413262 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21222111212001 its reverse (10021211122212), we get a palindrome (31243322334213).

The spelling of 21222111212001 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred eleven million, two hundred twelve thousand, one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 11443 34329 80101 102987 240303 308961 560707 720909 1401809 1682121 2162727 4205427 5046363 9812663 12616281 15139089 29437989 37848843 68688641 88313967 206065923 264941901 618197769 1854593307 16040900387 48122701161 112286302709 144368103483 336858908127 433104310449 786004118963 1010576724381 2358012356889 3031730173143 7074037070667 21222111212001