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1220120210001 = 372116731735527
BaseRepresentation
bin10001110000010100110…
…101001110101001010001
311022122100021102200100110
4101300110311032221101
5124442301233210001
62332303202311533
7154102500444300
oct21602465165121
94278307380313
101220120210001
114304a5060720
121785739585a9
138b097b61004
14430a8782437
1521b1129e3d6
hex11c14d4ea51

1220120210001 has 96 divisors (see below), whose sum is σ = 2101952443392. Its totient is φ = 622381415040.

The previous prime is 1220120209993. The next prime is 1220120210011. The reversal of 1220120210001 is 1000120210221.

It is not a de Polignac number, because 1220120210001 - 23 = 1220120209993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1220120210011) 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, 34325700 + ... + 34361226.

It is an arithmetic number, because the mean of its divisors is an integer number (21895337952).

Almost surely, 21220120210001 is an apocalyptic number.

1220120210001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1220120210001 is a deficient number, since it is larger than the sum of its proper divisors (881832233391).

1220120210001 is a wasteful number, since it uses less digits than its factorization.

1220120210001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35939 (or 35932 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1220120210001 its reverse (1000120210221), we get a palindrome (2220240420222).

It can be divided in two parts, 12201 and 20210001, that added together give a palindrome (20222202).

The spelling of 1220120210001 in words is "one trillion, two hundred twenty billion, one hundred twenty million, two hundred ten thousand, one".

Divisors: 1 3 7 11 21 33 49 67 77 147 201 231 317 469 539 737 951 1407 1617 2211 2219 3283 3487 5159 6657 9849 10461 15477 15533 21239 24409 35527 36113 46599 63717 73227 106581 108339 148673 170863 233629 248689 390797 446019 512589 700887 746067 1040711 1172391 1635403 1740823 2380309 2735579 3122133 4906209 5222469 7140927 8206737 11262059 11447821 16662163 19149053 26183399 33786177 34343463 49986489 57447159 78550197 78834413 116635141 123882649 183283793 236503239 349905423 371647947 549851379 551840891 754557953 867178543 1282986551 1655522673 2263673859 2601535629 3848959653 5281905671 6070249801 8300137483 15845717013 18210749403 24900412449 36973339697 58100962381 110920019091 174302887143 406706736667 1220120210001