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12110212222100 = 2252294175935249
BaseRepresentation
bin1011000000111010000011…
…1001011100110010010100
31120212201120111211002011022
42300032200321130302110
53041403203312101400
641431204340300312
72356635230313206
oct260164071346224
946781514732138
1012110212222100
113949a040a5583
1214370596a1698
1369acacb62ba5
142dc1cd046776
15160033988b85
hexb03a0e5cc94

12110212222100 has 36 divisors (see below), whose sum is σ = 27185338477500. Its totient is φ = 4677047477760.

The previous prime is 12110212222099. The next prime is 12110212222201. The reversal of 12110212222100 is 122221201121.

It can be written as a sum of positive squares in 6 ways, for example, as 222184020496 + 11888028201604 = 471364^2 + 3447902^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2087964725 + ... + 2087970524.

Almost surely, 212110212222100 is an apocalyptic number.

12110212222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12110212222100 is an abundant number, since it is smaller than the sum of its proper divisors (15075126255400).

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

12110212222100 is a wasteful number, since it uses less digits than its factorization.

12110212222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175935292 (or 4175935285 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12110212222100 its reverse (122221201121), we get a palindrome (12232433423221).

The spelling of 12110212222100 in words is "twelve trillion, one hundred ten billion, two hundred twelve million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 4175935249 8351870498 16703740996 20879676245 41759352490 83518704980 104398381225 121102122221 208796762450 242204244442 417593524900 484408488884 605510611105 1211021222210 2422042444420 3027553055525 6055106111050 12110212222100