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12020002020001 = 176521701315461
BaseRepresentation
bin1010111011101001111111…
…1100110101101010100001
31120120002201121101222222001
42232322133330311222201
53033413431004120001
641321525050444001
72350262566251433
oct256723774655241
946502647358861
1012020002020001
113914721863548
121421682433601
13692634623a91
142d7ab226c653
1515ca03e3a001
hexaee9ff35aa1

12020002020001 has 16 divisors (see below), whose sum is σ = 12731651141328. Its totient is φ = 11308863846400.

The previous prime is 12020002019989. The next prime is 12020002020079. The reversal of 12020002020001 is 10002020002021.

It can be written as a sum of positive squares in 8 ways, for example, as 2131643800225 + 9888358219776 = 1460015^2 + 3144576^2 .

It is a cyclic number.

It is not a de Polignac number, because 12020002020001 - 25 = 12020002019969 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 12020002020001.

It is not an unprimeable number, because it can be changed into a prime (12020002090001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 777432411 + ... + 777447871.

It is an arithmetic number, because the mean of its divisors is an integer number (795728196333).

Almost surely, 212020002020001 is an apocalyptic number.

It is an amenable number.

12020002020001 is a deficient number, since it is larger than the sum of its proper divisors (711649121327).

12020002020001 is a wasteful number, since it uses less digits than its factorization.

12020002020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29012.

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

Adding to 12020002020001 its reverse (10002020002021), we get a palindrome (22022022022022).

The spelling of 12020002020001 in words is "twelve trillion, twenty billion, two million, twenty thousand, one".

Divisors: 1 17 6521 7013 15461 110857 119221 262837 45731773 100821181 108427993 777440141 1713960077 1843275881 707058942353 12020002020001