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20012021212120 = 2357178263508799
BaseRepresentation
bin1001000110011011010010…
…11010100110001111011000
32121212010112011111100120021
410203031221122212033120
510110334104412241440
6110321221242240224
74133551353443350
oct443155132461730
977763464440507
1020012021212120
116416061297693
1222b25694b6074
13b221829645c2
144d28309dbb60
1524a85a3e684a
hex1233696a63d8

20012021212120 has 128 divisors (see below), whose sum is σ = 54493212672000. Its totient is φ = 6456866420736.

The previous prime is 20012021212111. The next prime is 20012021212181. The reversal of 20012021212120 is 2121212021002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20012021212094 and 20012021212103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39077481 + ... + 39586279.

It is an arithmetic number, because the mean of its divisors is an integer number (425728224000).

Almost surely, 220012021212120 is an apocalyptic number.

20012021212120 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 20012021212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27246606336000).

20012021212120 is an abundant number, since it is smaller than the sum of its proper divisors (34481191459880).

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

20012021212120 is a wasteful number, since it uses less digits than its factorization.

20012021212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517097 (or 517093 counting only the distinct ones).

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

Adding to 20012021212120 its reverse (2121212021002), we get a palindrome (22133233233122).

The spelling of 20012021212120 in words is "twenty trillion, twelve billion, twenty-one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 8263 16526 33052 41315 57841 66104 82630 115682 140471 165260 231364 280942 289205 330520 462728 508799 561884 578410 702355 983297 1017598 1123768 1156820 1404710 1966594 2035196 2313640 2543995 2809420 3561593 3933188 4070392 4916485 5087990 5618840 7123186 7866376 8649583 9832970 10175980 14246372 17299166 17807965 19665940 20351960 28492744 34598332 35615930 39331880 43247915 60547081 69196664 71231860 86495830 121094162 142463720 172991660 242188324 302735405 345983320 484376648 605470810 1210941620 2421883240 4204206137 8408412274 16816824548 21021030685 29429442959 33633649096 42042061370 58858885918 71471504329 84084122740 117717771836 142943008658 147147214795 168168245480 235435543672 285886017316 294294429590 357357521645 500300530303 571772034632 588588859180 714715043290 1000601060606 1177177718360 1429430086580 2001202121212 2501502651515 2858860173160 4002404242424 5003005303030 10006010606060 20012021212120