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211211221221121 = 11291637404461907
BaseRepresentation
bin110000000001100001110001…
…110100000011111100000001
31000200211121002011021111221111
4300001201301310003330001
5210140441040113033441
62025113032344523321
762326335646331422
oct6001416164037401
91020747064244844
10211211221221121
11613311a3128a20
121b832196780541
1390b1195703bc4
143a2296b695649
15196414dda9081
hexc01871d03f01

211211221221121 has 16 divisors (see below), whose sum is σ = 238503097909440. Its totient is φ = 185275909900480.

The previous prime is 211211221221107. The next prime is 211211221221131. The reversal of 211211221221121 is 121122122112112.

It is a cyclic number.

It is not a de Polignac number, because 211211221221121 - 29 = 211211221220609 is a prime.

It is a super-2 number, since 2×2112112212211212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211211221221092 and 211211221221101.

It is not an unprimeable number, because it can be changed into a prime (211211221221131) 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, 201708751 + ... + 202753156.

It is an arithmetic number, because the mean of its divisors is an integer number (14906443619340).

Almost surely, 2211211221221121 is an apocalyptic number.

It is an amenable number.

211211221221121 is a deficient number, since it is larger than the sum of its proper divisors (27291876688319).

211211221221121 is a wasteful number, since it uses less digits than its factorization.

211211221221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404463584.

The product of its digits is 128, while the sum is 22.

Adding to 211211221221121 its reverse (121122122112112), we get a palindrome (332333343333233).

The spelling of 211211221221121 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 11 29 319 1637 18007 47473 522203 404461907 4449080977 11729395303 129023348333 662104141759 7283145559349 19201020111011 211211221221121