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12242120000 = 26541127823
BaseRepresentation
bin10110110011010111…
…11110110101000000
31011121011201010112212
423121223332311000
5200032440320000
65342435041252
7612241205645
oct133153766500
934534633485
1012242120000
1152123a2a50
122457a40228
1312013785b6
14841c45dcc
154b9b49c35
hex2d9afed40

12242120000 has 140 divisors (see below), whose sum is σ = 33117349056. Its totient is φ = 4451520000.

The previous prime is 12242119999. The next prime is 12242120017. The reversal of 12242120000 is 2124221.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 426089 + ... + 453911.

Almost surely, 212242120000 is an apocalyptic number.

12242120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12242120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16558674528).

12242120000 is an abundant number, since it is smaller than the sum of its proper divisors (20875229056).

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

12242120000 is an equidigital number, since it uses as much as digits as its factorization.

12242120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27866 (or 27841 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12242120000 its reverse (2124221), we get a palindrome (12244244221).

The spelling of 12242120000 in words is "twelve billion, two hundred forty-two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 10000 11000 13750 17600 20000 22000 27500 27823 40000 44000 55000 55646 88000 110000 111292 139115 220000 222584 278230 306053 440000 445168 556460 612106 695575 890336 1112920 1224212 1391150 1530265 1780672 2225840 2448424 2782300 3060530 3477875 4451680 4896848 5564600 6121060 6955750 7651325 8903360 9793696 11129200 12242120 13911500 15302650 17389375 19587392 22258400 24484240 27823000 30605300 34778750 38256625 44516800 48968480 55646000 61210600 69557500 76513250 97936960 111292000 122421200 139115000 153026500 191283125 222584000 244842400 278230000 306053000 382566250 489684800 556460000 612106000 765132500 1112920000 1224212000 1530265000 2448424000 3060530000 6121060000 12242120000