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121002012021 = 311173313731747
BaseRepresentation
bin111000010110001001…
…0000010110101110101
3102120022211122002120210
41300230102002311311
53440303003341041
6131330525020033
711512354063152
oct1605422026565
9376284562523
10121002012021
1147353532630
121b54b3b4619
13b54497a2a7
145bdc459229
153232e33016
hex1c2c482d75

121002012021 has 64 divisors (see below), whose sum is σ = 187527453696. Its totient is φ = 68588467200.

The previous prime is 121002011951. The next prime is 121002012037. The reversal of 121002012021 is 120210200121.

It is not a de Polignac number, because 121002012021 - 218 = 121001749877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121002011988 and 121002012006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121002012071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69261870 + ... + 69263616.

It is an arithmetic number, because the mean of its divisors is an integer number (2930116464).

Almost surely, 2121002012021 is an apocalyptic number.

121002012021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121002012021 is a deficient number, since it is larger than the sum of its proper divisors (66525441675).

121002012021 is a wasteful number, since it uses less digits than its factorization.

121002012021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482.

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

Adding to 121002012021 its reverse (120210200121), we get a palindrome (241212212142).

The spelling of 121002012021 in words is "one hundred twenty-one billion, two million, twelve thousand, twenty-one".

Divisors: 1 3 11 17 33 51 187 331 373 561 993 1119 1747 3641 4103 5241 5627 6341 10923 12309 16881 19023 19217 29699 57651 61897 69751 89097 123463 185691 209253 326689 370389 578257 651631 980067 1358093 1734771 1954893 2098871 4074279 6296613 6360827 7167941 9830369 11077727 19082481 21503823 23087581 29491107 33233181 69262743 108134059 121854997 215689861 324402177 365564991 647069583 2372588471 3666727637 7117765413 11000182911 40334004007 121002012021