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12202121002220 = 22517229431168901
BaseRepresentation
bin1011000110010000011100…
…0101100111110011101100
31121012111210210101212100122
42301210013011213303230
53044404420434032340
641541324344344112
72366400635125322
oct261440705476354
947174723355318
1012202121002220
1139849882193a6
121450a29775038
136a6869271256
1430282b655d12
151626126a9db5
hexb1907167cec

12202121002220 has 144 divisors (see below), whose sum is σ = 28224578148480. Its totient is φ = 4425017856000.

The previous prime is 12202121002217. The next prime is 12202121002229. The reversal of 12202121002220 is 2220012120221.

It is a happy number.

12202121002220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (12202121002229) 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, 72159770 + ... + 72328670.

It is an arithmetic number, because the mean of its divisors is an integer number (196004014920).

Almost surely, 212202121002220 is an apocalyptic number.

12202121002220 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 12202121002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112289074240).

12202121002220 is an abundant number, since it is smaller than the sum of its proper divisors (16022457146260).

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

12202121002220 is a wasteful number, since it uses less digits than its factorization.

12202121002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169404 (or 169385 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12202121002220 its reverse (2220012120221), we get a palindrome (14422133122441).

The spelling of 12202121002220 in words is "twelve trillion, two hundred two billion, one hundred twenty-one million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 289 290 340 431 493 578 580 862 986 1156 1445 1724 1972 2155 2465 2890 4310 4930 5780 7327 8381 8620 9860 12499 14654 16762 24998 29308 33524 36635 41905 49996 62495 73270 83810 124559 124990 146540 167620 168901 212483 249118 249980 337802 424966 498236 622795 675604 844505 849932 1062415 1245590 1689010 2124830 2491180 2871317 3378020 3612211 4249660 4898129 5742634 7224422 9796258 11485268 14356585 14448844 18061055 19592516 24490645 28713170 36122110 48812389 48981290 57426340 72244220 72796331 83268193 97624778 97962580 145592662 166536386 195249556 244061945 291185324 333072772 363981655 416340965 488123890 727963310 832681930 976247780 1237537627 1415559281 1455926620 1665363860 2111093599 2475075254 2831118562 4222187198 4950150508 5662237124 6187688135 7077796405 8444374396 10555467995 12375376270 14155592810 21038139659 21110935990 24750752540 28311185620 35888591183 42076279318 42221871980 71777182366 84152558636 105190698295 143554364732 179442955915 210381396590 358885911830 420762793180 610106050111 717771823660 1220212100222 2440424200444 3050530250555 6101060501110 12202121002220