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21112101201200 = 2452233571739623
BaseRepresentation
bin1001100110011100010110…
…10010101110010100110000
32202202022000122001222200112
410303032023102232110300
510231400040401414300
6112522433154240452
74306204356200252
oct463161322562460
982668018058615
1021112101201200
1167aa656811659
12244b7bbb86128
13ba1b2a197c99
1452db8c967cd2
15269292de7e35
hex13338b4ae530

21112101201200 has 120 divisors (see below), whose sum is σ = 50949709375968. Its totient is φ = 8406913546240.

The previous prime is 21112101201187. The next prime is 21112101201221. The reversal of 21112101201200 is 210210121112.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 532804589 + ... + 532844211.

Almost surely, 221112101201200 is an apocalyptic number.

21112101201200 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 21112101201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25474854687984).

21112101201200 is an abundant number, since it is smaller than the sum of its proper divisors (29837608174768).

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

21112101201200 is a wasteful number, since it uses less digits than its factorization.

21112101201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45591 (or 45580 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21112101201200 its reverse (210210121112), we get a palindrome (21322311322312).

The spelling of 21112101201200 in words is "twenty-one trillion, one hundred twelve billion, one hundred one million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 233 400 466 932 1165 1864 2330 3728 4660 5717 5825 9320 11434 11650 18640 22868 23300 28585 39623 45736 46600 57170 79246 91472 93200 114340 142925 158492 198115 228680 285850 316984 396230 457360 571700 633968 792460 990575 1143400 1332061 1584920 1981150 2286800 2664122 3169840 3962300 5328244 6660305 7924600 9232159 10656488 13320610 15849200 18464318 21312976 26641220 33301525 36928636 46160795 53282440 66603050 73857272 92321590 106564880 133206100 147714544 184643180 226524691 230803975 266412200 369286360 453049382 461607950 532824400 738572720 906098764 923215900 1132623455 1812197528 1846431800 2265246910 3624395056 3692863600 4530493820 5663117275 9060987640 11326234550 18121975280 22652469100 45304938200 52780253003 90609876400 105560506006 211121012012 263901265015 422242024024 527802530030 844484048048 1055605060060 1319506325075 2111210120120 2639012650150 4222420240240 5278025300300 10556050600600 21112101201200