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200012120111100 = 2235211361316775459
BaseRepresentation
bin101101011110100011110011…
…010111101011011111111100
3222020011222020112202111101010
4231132203303113223133330
5202203444310222023400
61545220144405315220
760062253535464423
oct5536436327533774
9866158215674333
10200012120111100
11588037335521a0
121a523832405b10
13877b0a628905b
1437568d158a2ba
15181cb93138450
hexb5e8f35eb7fc

200012120111100 has 144 divisors (see below), whose sum is σ = 631485753575040. Its totient is φ = 48474363436800.

The previous prime is 200012120111099. The next prime is 200012120111107. The reversal of 200012120111100 is 1111021210002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200012120111107) 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, 3535171 + ... + 20310629.

It is an arithmetic number, because the mean of its divisors is an integer number (4385317733160).

Almost surely, 2200012120111100 is an apocalyptic number.

200012120111100 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 200012120111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315742876787520).

200012120111100 is an abundant number, since it is smaller than the sum of its proper divisors (431473633463940).

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

200012120111100 is a wasteful number, since it uses less digits than its factorization.

200012120111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16779100 (or 16779093 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 200012120111100 its reverse (1111021210002), we get a palindrome (201123141321102).

The spelling of 200012120111100 in words is "two hundred trillion, twelve billion, one hundred twenty million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3613 7226 10839 14452 18065 21678 36130 39743 43356 54195 72260 79486 90325 108390 119229 158972 180650 198715 216780 238458 270975 361300 397430 476916 541950 596145 794860 993575 1083900 1192290 1987150 2384580 2980725 3974300 5961450 11922900 16775459 33550918 50326377 67101836 83877295 100652754 167754590 184530049 201305508 251631885 335509180 369060098 419386475 503263770 553590147 738120196 838772950 922650245 1006527540 1107180294 1258159425 1677545900 1845300490 2214360588 2516318850 2767950735 3690600980 4613251225 5032637700 5535901470 9226502450 11071802940 13839753675 18453004900 27679507350 55359014700 60609733367 121219466734 181829200101 242438933468 303048666835 363658400202 606097333670 666707067037 727316800404 909146000505 1212194667340 1333414134074 1515243334175 1818292001010 2000121201111 2666828268148 3030486668350 3333535335185 3636584002020 4000242402222 4545730002525 6060973336700 6667070670370 8000484804444 9091460005050 10000606005555 13334141340740 16667676675925 18182920010100 20001212011110 33335353351850 40002424022220 50003030027775 66670706703700 100006060055550 200012120111100