Search a number
-
+
12100121212120 = 235877929371291
BaseRepresentation
bin1011000000010100011101…
…1011010011010011011000
31120211202112020210122210221
42300011013123103103120
53041222022012241440
641422415143045424
72356130166201064
oct260050733232330
946752466718727
1012100121212120
1139456a5a7a407
121435102140874
1369a06235bb76
142db912b92aa4
1515eb42aeed4a
hexb01476d34d8

12100121212120 has 64 divisors (see below), whose sum is σ = 27285729271200. Its totient is φ = 4829312593920.

The previous prime is 12100121212097. The next prime is 12100121212141. The reversal of 12100121212120 is 2121212100121.

It is a junction number, because it is equal to n+sod(n) for n = 12100121212094 and 12100121212103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32403675 + ... + 32774965.

Almost surely, 212100121212120 is an apocalyptic number.

12100121212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100121212120 is an abundant number, since it is smaller than the sum of its proper divisors (15185608059080).

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

12100121212120 is a wasteful number, since it uses less digits than its factorization.

12100121212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373108 (or 373104 counting only the distinct ones).

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

Adding to 12100121212120 its reverse (2121212100121), we get a palindrome (14221333312241).

The spelling of 12100121212120 in words is "twelve trillion, one hundred billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 877 929 1754 1858 3508 3716 4385 4645 7016 7432 8770 9290 17540 18580 35080 37160 371291 742582 814733 1485164 1629466 1856455 2970328 3258932 3712910 4073665 6517864 7425820 8147330 14851640 16294660 32589320 325622207 344929339 651244414 689858678 1302488828 1379717356 1628111035 1724646695 2604977656 2759434712 3256222070 3449293390 6512444140 6898586780 13024888280 13797173560 302503030303 605006060606 1210012121212 1512515151515 2420024242424 3025030303030 6050060606060 12100121212120