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12202122010120 = 2357244727536469
BaseRepresentation
bin1011000110010000011100…
…1001011101111000001000
31121012111210212022001221021
42301210013021131320020
53044404421213310440
641541324422122224
72366400646523650
oct261440711357010
947174725261837
1012202122010120
113984988847679
121450a29b80374
136a6869534c43
1430282b839360
1516261280884a
hexb190725de08

12202122010120 has 128 divisors (see below), whose sum is σ = 31405963852800. Its totient is φ = 4179709771776.

The previous prime is 12202122010097. The next prime is 12202122010123. The reversal of 12202122010120 is 2101022120221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12202122010094 and 12202122010103.

It is not an unprimeable number, because it can be changed into a prime (12202122010123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1886242246 + ... + 1886248714.

It is an arithmetic number, because the mean of its divisors is an integer number (245359092600).

Almost surely, 212202122010120 is an apocalyptic number.

12202122010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12202122010120 is an abundant number, since it is smaller than the sum of its proper divisors (19203841842680).

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

12202122010120 is a wasteful number, since it uses less digits than its factorization.

12202122010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11687 (or 11683 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12202122010120 its reverse (2101022120221), we get a palindrome (14303144130341).

The spelling of 12202122010120 in words is "twelve trillion, two hundred two billion, one hundred twenty-two million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 2447 2753 4894 5506 6469 9788 11012 12235 12938 13765 17129 19271 19576 22024 24470 25876 27530 32345 34258 38542 45283 48940 51752 55060 64690 68516 77084 85645 90566 96355 97880 110120 129380 137032 154168 171290 181132 192710 226415 258760 342580 362264 385420 452830 685160 770840 905660 1811320 6736591 13473182 15829643 17809157 26946364 31659286 33682955 35618314 47156137 53892728 63318572 67365910 71236628 79148215 89045785 94312274 110807501 124664099 126637144 134731820 142473256 158296430 178091570 188624548 221615002 235780685 249328198 269463640 316592860 356183140 377249096 443230004 471561370 498656396 554037505 623320495 633185720 712366280 886460008 943122740 997312792 1108075010 1246640990 1886245480 2216150020 2493281980 4432300040 4986563960 43579007179 87158014358 174316028716 217895035895 305053050253 348632057432 435790071790 610106100506 871580143580 1220212201012 1525265251265 1743160287160 2440424402024 3050530502530 6101061005060 12202122010120