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12100220012001 = 3112223491304439
BaseRepresentation
bin1011000000010100110101…
…0100001100010111100001
31120211202210010201012202210
42300011031110030113201
53041222222310341001
641422433032432333
72356132506034302
oct260051524142741
946752703635683
1012100220012001
113945746821200
12143512b2486a9
1369a079972334
142db921d507a9
1515eb4b618dd6
hexb014d50c5e1

12100220012001 has 48 divisors (see below), whose sum is σ = 17849516912640. Its totient is φ = 7285688440800.

The previous prime is 12100220011993. The next prime is 12100220012021. The reversal of 12100220012001 is 10021002200121.

It is not a de Polignac number, because 12100220012001 - 23 = 12100220011993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12100220012021) 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, 39593740 + ... + 39898178.

It is an arithmetic number, because the mean of its divisors is an integer number (371864935680).

Almost surely, 212100220012001 is an apocalyptic number.

12100220012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12100220012001 is a deficient number, since it is larger than the sum of its proper divisors (5749296900639).

12100220012001 is a wasteful number, since it uses less digits than its factorization.

12100220012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305178 (or 305167 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12100220012001 its reverse (10021002200121), we get a palindrome (22121222212122).

The spelling of 12100220012001 in words is "twelve trillion, one hundred billion, two hundred twenty million, twelve thousand, one".

Divisors: 1 3 11 33 121 223 363 491 669 1473 2453 5401 7359 16203 26983 59411 80949 109493 178233 304439 328479 913317 1204423 3348829 3613269 10046487 13248653 36837119 39745959 67889897 110511357 149479549 203669691 448438647 746788867 1644275039 2240366601 4932825117 8214677537 18087025429 24644032611 33333939427 54261076287 100001818281 366673333697 1100020001091 4033406670667 12100220012001