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1211001212201 = 11215913628937
BaseRepresentation
bin10001100111110101010…
…011000000110100101001
311021202210202102121001012
4101213311103000310221
5124320112302242301
62324154250433305
7153330511315004
oct21476523006451
94252722377035
101211001212201
11427645682700
12176849a32835
138a273848021
144288163253b
152177a918ebb
hex119f54c0d29

1211001212201 has 12 divisors (see below), whose sum is σ = 1331186271156. Its totient is φ = 1100839259520.

The previous prime is 1211001212147. The next prime is 1211001212207. The reversal of 1211001212201 is 1022121001121.

It can be written as a sum of positive squares in 2 ways, for example, as 746012238400 + 464988973801 = 863720^2 + 681901^2 .

It is not a de Polignac number, because 1211001212201 - 26 = 1211001212137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1211001212207) by changing a digit.

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, 1611005 + ... + 2239941.

It is an arithmetic number, because the mean of its divisors is an integer number (110932189263).

Almost surely, 21211001212201 is an apocalyptic number.

1211001212201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1211001212201 is a deficient number, since it is larger than the sum of its proper divisors (120185058955).

1211001212201 is a wasteful number, since it uses less digits than its factorization.

1211001212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644872 (or 644861 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1211001212201 its reverse (1022121001121), we get a palindrome (2233122213322).

The spelling of 1211001212201 in words is "one trillion, two hundred eleven billion, one million, two hundred twelve thousand, two hundred one".

Divisors: 1 11 121 15913 175043 628937 1925473 6918307 76101377 10008274481 110091019291 1211001212201