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1220333312121 = 371119433642133
BaseRepresentation
bin10001110000100001100…
…010001001100001111001
311022122220010102101111120
4101300201202021201321
5124443220311441441
62332340254015453
7154110666001260
oct21604142114171
94278803371446
101220333312121
114305a4382480
121786131a7589
138b100054b41
14430c8bb55d7
1521b24d45966
hex11c21889879

1220333312121 has 64 divisors (see below), whose sum is σ = 2140309678080. Its totient is φ = 599186211840.

The previous prime is 1220333312111. The next prime is 1220333312129. The reversal of 1220333312121 is 1212133330221.

It is not a de Polignac number, because 1220333312121 - 25 = 1220333312089 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1220333312091 and 1220333312100.

It is not an unprimeable number, because it can be changed into a prime (1220333312129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1579371 + ... + 2221503.

It is an arithmetic number, because the mean of its divisors is an integer number (33442338720).

Almost surely, 21220333312121 is an apocalyptic number.

1220333312121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1220333312121 is a deficient number, since it is larger than the sum of its proper divisors (919976365959).

1220333312121 is a wasteful number, since it uses less digits than its factorization.

1220333312121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642606.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1220333312121 its reverse (1212133330221), we get a palindrome (2432466642342).

The spelling of 1220333312121 in words is "one trillion, two hundred twenty billion, three hundred thirty-three million, three hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 7 11 19 21 33 57 77 133 209 231 399 433 627 1299 1463 3031 4389 4763 8227 9093 14289 24681 33341 57589 90497 100023 172767 271491 633479 642133 1900437 1926399 4494931 7063463 12200527 13484793 21190389 36601581 49444241 85403689 134205797 148332723 256211067 278043589 402617391 834130767 939440579 1946305123 2818321737 3058479479 5282828191 5838915369 9175438437 15848484573 21409356353 36979797337 58111110101 64228069059 110939392011 174333330303 406777770707 1220333312121