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12230153040 = 2435721039979
BaseRepresentation
bin10110110001111100…
…10101001101010000
31011120100012010222010
423120332111031100
5200021404344130
65341330342520
7612034404600
oct133076251520
934510163863
1012230153040
115206669aa6
122453a2aa40
1311cba48661
1484040cc00
154b8a840b0
hex2d8f95350

12230153040 has 120 divisors (see below), whose sum is σ = 44103471840. Its totient is φ = 2795460864.

The previous prime is 12230153027. The next prime is 12230153053. The reversal of 12230153040 is 4035103221.

12230153040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12230153027) and next prime (12230153053).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12230152998 and 12230153016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508230 + ... + 531749.

It is an arithmetic number, because the mean of its divisors is an integer number (367528932).

Almost surely, 212230153040 is an apocalyptic number.

12230153040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12230153040 is an abundant number, since it is smaller than the sum of its proper divisors (31873318800).

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

12230153040 is a wasteful number, since it uses less digits than its factorization.

12230153040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040009 (or 1039996 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 12230153040 its reverse (4035103221), we get a palindrome (16265256261).

The spelling of 12230153040 in words is "twelve billion, two hundred thirty million, one hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 1039979 2079958 3119937 4159916 5199895 6239874 7279853 8319832 10399790 12479748 14559706 15599685 16639664 20799580 21839559 24959496 29119412 31199370 36399265 41599160 43679118 49918992 50958971 58238824 62398740 72798530 83198320 87358236 101917942 109197795 116477648 124797480 145597060 152876913 174716472 203835884 218395590 249594960 254794855 291194120 305753826 349432944 407671768 436791180 509589710 582388240 611507652 764384565 815343536 873582360 1019179420 1223015304 1528769130 1747164720 2038358840 2446030608 3057538260 4076717680 6115076520 12230153040