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12211012210122 = 235112207649087
BaseRepresentation
bin1011000110110001100100…
…0010111000110111001010
31121020100202102210000200000
42301230121002320313022
53100031123111210442
641545354522023430
72400134160135255
oct261543102706712
947210672700600
1012211012210122
113988730063500
1214526ab347b76
136a765531cc0b
1430303242c09c
15162983046d4c
hexb1b190b8dca

12211012210122 has 72 divisors (see below), whose sum is σ = 30158122944768. Its totient is φ = 3700306712520.

The previous prime is 12211012210099. The next prime is 12211012210127. The reversal of 12211012210122 is 22101221011221.

12211012210122 is a `hidden beast` number, since 1 + 221 + 101 + 221 + 0 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12211012210095 and 12211012210104.

It is not an unprimeable number, because it can be changed into a prime (12211012210127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103765738 + ... + 103883349.

Almost surely, 212211012210122 is an apocalyptic number.

12211012210122 is an abundant number, since it is smaller than the sum of its proper divisors (17947110734646).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12211012210122 is a wasteful number, since it uses less digits than its factorization.

12211012210122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207649126 (or 207649103 counting only the distinct ones).

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

Adding to 12211012210122 its reverse (22101221011221), we get a palindrome (34312233221343).

The spelling of 12211012210122 in words is "twelve trillion, two hundred eleven billion, twelve million, two hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 243 297 363 486 594 726 891 1089 1782 2178 2673 3267 5346 6534 9801 19602 29403 58806 207649087 415298174 622947261 1245894522 1868841783 2284139957 3737683566 4568279914 5606525349 6852419871 11213050698 13704839742 16819576047 20557259613 25125539527 33639152094 41114519226 50251079054 50458728141 61671778839 75376618581 100917456282 123343557678 150753237162 185015336517 226129855743 370030673034 452259711486 555046009551 678389567229 1110092019102 1356779134458 2035168701687 4070337403374 6105506105061 12211012210122