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12111102212200 = 23522311172357071
BaseRepresentation
bin1011000000111101010111…
…1100011111100001101000
31120212210212112111021001121
42300033111330133201220
53041412014131242300
641431432532025024
72356666255151425
oct260172574374150
946783775437047
1012111102212200
11394a320510292
121437267762174
1369b0c2363354
142dc275318d4c
15160086b8981a
hexb03d5f1f868

12111102212200 has 96 divisors (see below), whose sum is σ = 29408904495360. Its totient is φ = 4629662611200.

The previous prime is 12111102212197. The next prime is 12111102212201. The reversal of 12111102212200 is 221220111121.

It is not an unprimeable number, because it can be changed into a prime (12111102212201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3959665 + ... + 6316735.

It is an arithmetic number, because the mean of its divisors is an integer number (306342755160).

Almost surely, 212111102212200 is an apocalyptic number.

12111102212200 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 12111102212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14704452247680).

12111102212200 is an abundant number, since it is smaller than the sum of its proper divisors (17297802283160).

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

12111102212200 is a wasteful number, since it uses less digits than its factorization.

12111102212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358227 (or 2358218 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12111102212200 its reverse (221220111121), we get a palindrome (12332322323321).

The spelling of 12111102212200 in words is "twelve trillion, one hundred eleven billion, one hundred two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1117 1150 2234 2300 4468 4600 5585 8936 11170 22340 25691 27925 44680 51382 55850 102764 111700 128455 205528 223400 256910 513820 642275 1027640 1284550 2357071 2569100 4714142 5138200 9428284 11785355 18856568 23570710 47141420 54212633 58926775 94282840 108425266 117853550 216850532 235707100 271063165 433701064 471414200 542126330 1084252660 1355315825 2168505320 2632848307 2710631650 5265696614 5421263300 10531393228 10842526600 13164241535 21062786456 26328483070 52656966140 60555511061 65821207675 105313932280 121111022122 131642415350 242222044244 263284830700 302777555305 484444088488 526569661400 605555110610 1211110221220 1513887776525 2422220442440 3027775553050 6055551106100 12111102212200