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12211202002000 = 245331677290923
BaseRepresentation
bin1011000110110010010001…
…0110111000110001010000
31121020101020122220110011211
42301230210112320301100
53100032020203031000
641545425421545504
72400141653265331
oct261544426706120
947211218813154
1012211202002000
1139888182039a1
121452742a15294
136a76857419c1
1430304d714288
15162994a367ba
hexb1b245b8c50

12211202002000 has 160 divisors (see below), whose sum is σ = 30524286034944. Its totient is φ = 4719918528000.

The previous prime is 12211202001983. The next prime is 12211202002061. The reversal of 12211202002000 is 20020211221.

It is a happy number.

It is a super-2 number, since 2×122112020020002 (a number of 27 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 41828539 + ... + 42119461.

Almost surely, 212211202002000 is an apocalyptic number.

12211202002000 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 12211202002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15262143017472).

12211202002000 is an abundant number, since it is smaller than the sum of its proper divisors (18313084032944).

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

12211202002000 is a wasteful number, since it uses less digits than its factorization.

12211202002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291654 (or 291638 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12211202002000 its reverse (20020211221), we get a palindrome (12231222213221).

The spelling of 12211202002000 in words is "twelve trillion, two hundred eleven billion, two hundred two million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 677 775 1000 1240 1354 1550 2000 2480 2708 3100 3385 3875 5416 6200 6770 7750 10832 12400 13540 15500 16925 20987 27080 31000 33850 41974 54160 62000 67700 83948 84625 104935 135400 167896 169250 209870 270800 290923 335792 338500 419740 524675 581846 677000 839480 1049350 1163692 1354000 1454615 1678960 2098700 2327384 2623375 2909230 4197400 4654768 5246750 5818460 7273075 8394800 9018613 10493500 11636920 14546150 18037226 20987000 23273840 29092300 36074452 36365375 41974000 45093065 58184600 72148904 72730750 90186130 116369200 144297808 145461500 180372260 196954871 225465325 290923000 360744520 393909742 450930650 581846000 721489040 787819484 901861300 984774355 1127326625 1575638968 1803722600 1969548710 2254653250 3151277936 3607445200 3939097420 4509306500 4923871775 6105601001 7878194840 9018613000 9847743550 12211202002 15756389680 18037226000 19695487100 24422404004 24619358875 30528005005 39390974200 48844808008 49238717750 61056010010 78781948400 97689616016 98477435500 122112020020 152640025025 196954871000 244224040040 305280050050 393909742000 488448080080 610560100100 763200125125 1221120200200 1526400250250 2442240400400 3052800500500 6105601001000 12211202002000