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1220010220121 = 71131253674643
BaseRepresentation
bin10001110000001110010…
…001101001101001011001
311022122001121110121121012
4101300032101221221121
5124442040104020441
62332244233023305
7154066663524140
oct21601621515131
94278047417535
101220010220121
11430448a666a0
12178542b54b35
138b07b130444
1443097d10757
1521b067c49eb
hex11c0e469a59

1220010220121 has 96 divisors (see below), whose sum is σ = 1625606267904. Its totient is φ = 888968995200.

The previous prime is 1220010220109. The next prime is 1220010220171. The reversal of 1220010220121 is 1210220100221.

It is not a de Polignac number, because 1220010220121 - 230 = 1218936478297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1220010220096 and 1220010220105.

It is not an unprimeable number, because it can be changed into a prime (1220010220171) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 262761026 + ... + 262765668.

It is an arithmetic number, because the mean of its divisors is an integer number (16933398624).

Almost surely, 21220010220121 is an apocalyptic number.

1220010220121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1220010220121 is a deficient number, since it is larger than the sum of its proper divisors (405596047783).

1220010220121 is a wasteful number, since it uses less digits than its factorization.

1220010220121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4843 (or 4812 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1220010220121 its reverse (1210220100221), we get a palindrome (2430230320342).

The spelling of 1220010220121 in words is "one trillion, two hundred twenty billion, ten million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 7 11 31 53 67 77 217 341 371 469 583 737 961 1643 2077 2387 3551 4081 4643 5159 6727 10571 11501 14539 18073 22847 24857 32501 39061 50933 51073 64387 73997 110081 126511 143933 159929 246079 273427 311081 356531 357511 450709 560263 708257 770567 1007531 1210891 1583263 1722553 2177567 2706869 3412511 3421891 3921841 4461923 4957799 7628449 8476237 9643511 11082841 16487293 18948083 23887577 23953237 31233461 37537621 49081153 53399143 67504577 83912939 106078621 115411051 181360223 236481919 262763347 298948841 343568071 511106083 587390573 742550347 1269521561 1655373433 2092641887 2601301109 3288437251 3577742581 5622166913 15844288573 18209107763 23019060757 39355168391 110910020011 174287174303 1220010220121