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12211303233030 = 2351125995616019
BaseRepresentation
bin1011000110110010101001…
…1001000011011000000110
31121020101111201101112001020
42301230222121003120012
53100032222111424110
641545443435412010
72400144322605456
oct261545231033006
947211451345036
1012211303233030
11398886a366300
1214527708b4006
136a76a06c6915
1430305cd45d66
1516299d880d70
hexb1b2a643606

12211303233030 has 96 divisors (see below), whose sum is σ = 32267404512000. Its totient is φ = 2955373312320.

The previous prime is 12211303232987. The next prime is 12211303233037. The reversal of 12211303233030 is 3033230311221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211303233037) 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 47 ways as a sum of consecutive naturals, for example, 633640 + ... + 4982379.

It is an arithmetic number, because the mean of its divisors is an integer number (336118797000).

Almost surely, 212211303233030 is an apocalyptic number.

12211303233030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211303233030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16133702256000).

12211303233030 is an abundant number, since it is smaller than the sum of its proper divisors (20056101278970).

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

12211303233030 is a wasteful number, since it uses less digits than its factorization.

12211303233030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5616650 (or 5616639 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 12211303233030 its reverse (3033230311221), we get a palindrome (15244533544251).

The spelling of 12211303233030 in words is "twelve trillion, two hundred eleven billion, three hundred three million, two hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 599 605 726 1198 1210 1797 1815 2995 3594 3630 5990 6589 8985 13178 17970 19767 32945 39534 65890 72479 98835 144958 197670 217437 362395 434874 724790 1087185 2174370 5616019 11232038 16848057 28080095 33696114 56160190 61776209 84240285 123552418 168480570 185328627 308881045 370657254 617762090 679538299 926643135 1359076598 1853286270 2038614897 3363995381 3397691495 4077229794 6727990762 6795382990 10091986143 10193074485 16819976905 20183972286 20386148970 33639953810 37003949191 50459930715 74007898382 100919861430 111011847573 185019745955 222023695146 370039491910 407043441101 555059237865 814086882202 1110118475730 1221130323303 2035217205505 2442260646606 4070434411010 6105651616515 12211303233030