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12230241600 = 263522547967
BaseRepresentation
bin10110110001111101…
…01010110101000000
31011120100100122110010
423120332222311000
5200021420212400
65341332304520
7612035224023
oct133076526500
934510318403
1012230241600
11520671a595
122453a72140
1311cba79a65
148404331ba
154b8aa0450
hex2d8faad40

12230241600 has 84 divisors (see below), whose sum is σ = 40125400064. Its totient is φ = 3261396480.

The previous prime is 12230241587. The next prime is 12230241607. The reversal of 12230241600 is 614203221.

12230241600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12230241607) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1269184 + ... + 1278783.

Almost surely, 212230241600 is an apocalyptic number.

12230241600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12230241600 is an abundant number, since it is smaller than the sum of its proper divisors (27895158464).

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

12230241600 is a wasteful number, since it uses less digits than its factorization.

12230241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547992 (or 2547977 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12230241600 its reverse (614203221), we get a palindrome (12844444821).

The spelling of 12230241600 in words is "twelve billion, two hundred thirty million, two hundred forty-one thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 2547967 5095934 7643901 10191868 12739835 15287802 20383736 25479670 30575604 38219505 40767472 50959340 61151208 63699175 76439010 81534944 101918680 122302416 127398350 152878020 163069888 191097525 203837360 244604832 254796700 305756040 382195050 407674720 489209664 509593400 611512080 764390100 815349440 1019186800 1223024160 1528780200 2038373600 2446048320 3057560400 4076747200 6115120800 12230241600