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12021202350 = 23252175872677
BaseRepresentation
bin10110011001000010…
…01111110110101110
31011000210000100111200
423030201033312232
5144104411433400
65304504030330
7603616351113
oct131441176656
934023010450
1012021202350
115109723283
1223b5a623a6
1311976792b1
1482077a90a
154a555cb00
hex2cc84fdae

12021202350 has 144 divisors (see below), whose sum is σ = 34267837968. Its totient is φ = 3010821120.

The previous prime is 12021202309. The next prime is 12021202381. The reversal of 12021202350 is 5320212021.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 4489212 + ... + 4491888.

It is an arithmetic number, because the mean of its divisors is an integer number (237971097).

Almost surely, 212021202350 is an apocalyptic number.

12021202350 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 12021202350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17133918984).

12021202350 is an abundant number, since it is smaller than the sum of its proper divisors (22246635618).

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

12021202350 is a wasteful number, since it uses less digits than its factorization.

12021202350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 12021202350 its reverse (5320212021), we get a palindrome (17341414371).

The spelling of 12021202350 in words is "twelve billion, twenty-one million, two hundred two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 255 306 425 450 510 587 765 850 1174 1275 1530 1761 2550 2677 2935 3522 3825 5283 5354 5870 7650 8031 8805 9979 10566 13385 14675 16062 17610 19958 24093 26415 26770 29350 29937 40155 44025 45509 48186 49895 52830 59874 66925 80310 88050 89811 91018 99790 120465 132075 133850 136527 149685 179622 200775 227545 240930 249475 264150 273054 299370 401550 409581 449055 455090 498950 602325 682635 748425 819162 898110 1137725 1204650 1365270 1496850 1571399 2047905 2245275 2275450 3142798 3413175 4095810 4490550 4714197 6826350 7856995 9428394 10239525 14142591 15713990 20479050 23570985 26713783 28285182 39284975 47141970 53427566 70712955 78569950 80141349 117854925 133568915 141425910 160282698 235709850 240424047 267137830 353564775 400706745 480848094 667844575 707129550 801413490 1202120235 1335689150 2003533725 2404240470 4007067450 6010601175 12021202350