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12002002020001 = 7371913134011933
BaseRepresentation
bin1010111010100110111100…
…0100010010011010100001
31120111101021011020020221101
42232221233010102122201
53033120100004120001
641305351004154401
72346054540626350
oct256515704223241
946441234206841
1012002002020001
113908025281094
12141a09a238a01
13690a263c34c6
142d6c85841997
1515c2eda81a01
hexaea6f1126a1

12002002020001 has 64 divisors (see below), whose sum is σ = 14249085198336. Its totient is φ = 9895302144000.

The previous prime is 12002002019899. The next prime is 12002002020089. The reversal of 12002002020001 is 10002020020021.

It is not a de Polignac number, because 12002002020001 - 215 = 12002001987233 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12002002020001.

It is not an unprimeable number, because it can be changed into a prime (12002012020001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6209001631 + ... + 6209003563.

It is an arithmetic number, because the mean of its divisors is an integer number (222641956224).

Almost surely, 212002002020001 is an apocalyptic number.

It is an amenable number.

12002002020001 is a deficient number, since it is larger than the sum of its proper divisors (2247083178335).

12002002020001 is a wasteful number, since it uses less digits than its factorization.

12002002020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12002002020001 its reverse (10002020020021), we get a palindrome (22004022040022).

It can be divided in two parts, 120020020 and 20001, that added together give a palindrome (120040021).

The spelling of 12002002020001 in words is "twelve trillion, two billion, two million, twenty thousand, one".

Divisors: 1 7 37 191 259 313 401 1337 1933 2191 2807 7067 11581 13531 14837 49469 59783 71521 76591 81067 103859 125513 369203 418481 500647 536137 605029 775133 878591 2211971 2584421 2833867 4235203 4643981 5425931 13660511 15483797 19837069 22386073 23972983 28679921 32507867 95623577 115560539 148050403 156702511 167810881 200759447 242616629 808923773 887000371 1036352821 1698316403 4275739943 5477864911 6209002597 8976815273 29930179601 38345054377 46339776139 62837706911 324378432973 1714571717143 12002002020001