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12240232114011 = 3112234013656039
BaseRepresentation
bin1011001000011110011010…
…1011111110011101011011
31121100011011211011221100120
42302013212223332131123
53101020443410122021
642011030210004323
72402220235206366
oct262074653763533
947304154157316
1012240232114011
11399a064a20800
1214582a4b766a3
136aa330bb0885
1430460500d0dd
151635e342b2c6
hexb21e6afe75b

12240232114011 has 48 divisors (see below), whose sum is σ = 18765488125440. Its totient is φ = 7078089568000.

The previous prime is 12240232113997. The next prime is 12240232114129. The reversal of 12240232114011 is 11041123204221.

It is not a de Polignac number, because 12240232114011 - 26 = 12240232113947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12240232114711) 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, 1519930 + ... + 5175968.

It is an arithmetic number, because the mean of its divisors is an integer number (390947669280).

Almost surely, 212240232114011 is an apocalyptic number.

12240232114011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12240232114011 is a deficient number, since it is larger than the sum of its proper divisors (6525256011429).

12240232114011 is a wasteful number, since it uses less digits than its factorization.

12240232114011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656488 (or 3656477 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 12240232114011 its reverse (11041123204221), we get a palindrome (23281355318232).

The spelling of 12240232114011 in words is "twelve trillion, two hundred forty billion, two hundred thirty-two million, one hundred fourteen thousand, eleven".

Divisors: 1 3 11 23 33 69 121 253 363 401 759 1203 2783 4411 8349 9223 13233 27669 48521 101453 145563 304359 1115983 3347949 3656039 10968117 40216429 84088897 120649287 252266691 442380719 924977867 1327142157 1466071639 2774933601 4398214917 10174756537 16126788029 30524269611 33719647697 48380364087 101158943091 177394668319 370916124667 532184004957 1112748374001 4080077371337 12240232114011