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1214620264121 = 11247972201839
BaseRepresentation
bin10001101011001101000…
…000100110011010111001
311022010010222022110222012
4101223031000212122321
5124400020241422441
62325553331335305
7153516264616535
oct21531500463271
94263128273865
101214620264121
11429132523a00
12177499a51535
138a6cc568b74
1442b06140bc5
15218dd4e09eb
hex11acd0266b9

1214620264121 has 24 divisors (see below), whose sum is σ = 1377541562880. Its totient is φ = 1069564826880.

The previous prime is 1214620264111. The next prime is 1214620264129.

1214620264121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1214620264121 - 222 = 1214616069817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1214620264129) 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 23 ways as a sum of consecutive naturals, for example, 549281 + ... + 1652558.

It is an arithmetic number, because the mean of its divisors is an integer number (57397565120).

Almost surely, 21214620264121 is an apocalyptic number.

1214620264121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1214620264121 is a deficient number, since it is larger than the sum of its proper divisors (162921298759).

1214620264121 is a wasteful number, since it uses less digits than its factorization.

1214620264121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202005 (or 2201994 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

It can be divided in two parts, 1214620 and 264121, that added together give a palindrome (1478741).

The spelling of 1214620264121 in words is "one trillion, two hundred fourteen billion, six hundred twenty million, two hundred sixty-four thousand, one hundred twenty-one".

Divisors: 1 11 47 97 121 517 1067 4559 5687 11737 50149 551639 2201839 24220229 103486433 213578383 266422519 1138350763 2349362213 10038184001 12521858393 25842984343 110420024011 1214620264121