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20012201021200 = 2452614129198637
BaseRepresentation
bin1001000110011011101000…
…01000100000111100010000
32121212010222200211121020211
410203031310020200330100
510110334441430134300
6110321251144213504
74133555666005153
oct443156410407420
977763880747224
1020012201021200
116416143839933
1222b25b976a294
13b221b0c9c5cb
144d284a845c9a
1524a86b0b34ba
hex123374220f10

20012201021200 has 120 divisors (see below), whose sum is σ = 48879579675080. Its totient is φ = 7871706316800.

The previous prime is 20012201021167. The next prime is 20012201021201. The reversal of 20012201021200 is 212010221002.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 8614365880576 + 11397835140624 = 2935024^2 + 3376068^2 .

It is not an unprimeable number, because it can be changed into a prime (20012201021201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100648282 + ... + 100846918.

Almost surely, 220012201021200 is an apocalyptic number.

20012201021200 is a gapful number since it is divisible by the number (20) 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 20012201021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24439789837540).

20012201021200 is an abundant number, since it is smaller than the sum of its proper divisors (28867378653880).

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

20012201021200 is a wasteful number, since it uses less digits than its factorization.

20012201021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202845 (or 202834 counting only the distinct ones).

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

Adding to 20012201021200 its reverse (212010221002), we get a palindrome (20224211242202).

The spelling of 20012201021200 in words is "twenty trillion, twelve billion, two hundred one million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 200 244 305 400 488 610 976 1220 1525 2440 3050 4129 4880 6100 8258 12200 16516 20645 24400 33032 41290 66064 82580 103225 165160 198637 206450 251869 330320 397274 412900 503738 794548 825800 993185 1007476 1259345 1589096 1651600 1986370 2014952 2518690 3178192 3972740 4029904 4965925 5037380 6296725 7945480 9931850 10074760 12116857 12593450 15890960 19863700 20149520 24233714 25186900 39727400 48467428 50373800 60584285 79454800 96934856 100747600 121168570 193869712 242337140 302921425 484674280 605842850 820172173 969348560 1211685700 1640344346 2423371400 3280688692 4100860865 4846742800 6561377384 8201721730 13122754768 16403443460 20504304325 32806886920 41008608650 50030502553 65613773840 82017217300 100061005106 164034434600 200122010212 250152512765 328068869200 400244020424 500305025530 800488040848 1000610051060 1250762563825 2001220102120 2501525127650 4002440204240 5003050255300 10006100510600 20012201021200