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12213201101211 = 32112293121123911
BaseRepresentation
bin1011000110111001101110…
…0000110110000110011011
31121020120101222120012202100
42301232123200312012123
53100100113440214321
641550400033334443
72400242336326035
oct261563340660633
947216358505670
1012213201101211
113989653695800
121453000407423
136a7913962046
1430319d016c55
15162a602bc326
hexb1b9b83619b

12213201101211 has 72 divisors (see below), whose sum is σ = 20066078803680. Its totient is φ = 7144353216000.

The previous prime is 12213201101209. The next prime is 12213201101279. The reversal of 12213201101211 is 11210110231221.

It is a happy number.

12213201101211 is a `hidden beast` number, since 1 + 2 + 21 + 320 + 110 + 1 + 211 = 666.

It is not a de Polignac number, because 12213201101211 - 21 = 12213201101209 is a prime.

It is a super-2 number, since 2×122132011012112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12213201101291) 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 71 ways as a sum of consecutive naturals, for example, 98502346 + ... + 98626256.

It is an arithmetic number, because the mean of its divisors is an integer number (278695538940).

Almost surely, 212213201101211 is an apocalyptic number.

12213201101211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12213201101211 is a deficient number, since it is larger than the sum of its proper divisors (7852877702469).

12213201101211 is a wasteful number, since it uses less digits than its factorization.

12213201101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127089 (or 127075 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 12213201101211 its reverse (11210110231221), we get a palindrome (23423311332432).

The spelling of 12213201101211 in words is "twelve trillion, two hundred thirteen billion, two hundred one million, one hundred one thousand, two hundred eleven".

Divisors: 1 3 9 11 29 33 87 99 121 261 319 363 957 1089 2871 3121 3509 9363 10527 28089 31581 34331 90509 102993 123911 271527 308979 371733 377641 814581 995599 1115199 1132923 1363021 2986797 3398769 3593419 4089063 8960391 10780257 10951589 12267189 14993231 32340771 32854767 39527609 44979693 98564301 118582827 134939079 355748481 386726231 434803699 1160178693 1304411097 3480536079 3913233291 4253988541 11215060699 12761965623 33645182097 38285896869 46793873951 100935546291 123365667689 140381621853 370097003067 421144865559 1110291009201 1357022344579 4071067033737 12213201101211