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1211002001121 = 311214149235783
BaseRepresentation
bin10001100111110101010…
…110000001011011100001
311021202210210220200020110
4101213311112001123201
5124320113003013441
62324154315401533
7153330521112033
oct21476526013341
94252723820213
101211002001121
11427646071400
1217684a1532a9
138a273a63143
1442881799c53
152177aa22b16
hex119f55816e1

1211002001121 has 24 divisors (see below), whose sum is σ = 1774934795200. Its totient is φ = 733885621920.

The previous prime is 1211002001117. The next prime is 1211002001149.

1211002001121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1211002001121 - 22 = 1211002001117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1211002001097 and 1211002001106.

It is not an unprimeable number, because it can be changed into a prime (1211002002121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5018196 + ... + 5253978.

Almost surely, 21211002001121 is an apocalyptic number.

1211002001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1211002001121 is a deficient number, since it is larger than the sum of its proper divisors (563932794079).

1211002001121 is a wasteful number, since it uses less digits than its factorization.

1211002001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249957 (or 249946 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The spelling of 1211002001121 in words is "one trillion, two hundred eleven billion, two million, one thousand, one hundred twenty-one".

Divisors: 1 3 11 33 121 363 14149 42447 155639 235783 466917 707349 1712029 2593613 5136087 7780839 28529743 85589229 3336093667 10008281001 36697030337 110091091011 403667333707 1211002001121