Search a number
-
+
12012021011001 = 31123291541335407
BaseRepresentation
bin1010111011001100010000…
…1111101101001000111001
31120112100010101201201211010
42232303010033231020321
53033301104334323001
641314125110024133
72346561035635554
oct256630417551071
946470111651733
1012012021011001
1139112a6787340
121420015648049
13691961ccca4b
142d755630969b
1515c6d84418d6
hexaecc43ed239

12012021011001 has 64 divisors (see below), whose sum is σ = 18862119198720. Its totient is φ = 6722743991040.

The previous prime is 12012021010933. The next prime is 12012021011147. The reversal of 12012021011001 is 10011012021021.

It is not a de Polignac number, because 12012021011001 - 215 = 12012020978233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12012021051001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 339237840 + ... + 339273246.

It is an arithmetic number, because the mean of its divisors is an integer number (294720612480).

Almost surely, 212012021011001 is an apocalyptic number.

12012021011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12012021011001 is a deficient number, since it is larger than the sum of its proper divisors (6850098187719).

12012021011001 is a wasteful number, since it uses less digits than its factorization.

12012021011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50886.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12012021011001 its reverse (10011012021021), we get a palindrome (22023033032022).

The spelling of 12012021011001 in words is "twelve trillion, twelve billion, twenty-one million, eleven thousand, one".

Divisors: 1 3 11 23 29 33 69 87 253 319 667 759 957 2001 7337 15413 22011 35407 46239 106221 169543 354499 389477 446977 508629 814361 1026803 1063497 1168431 1340931 2443083 3080409 3899489 4916747 8957971 10280471 11294833 11698467 14750241 23616469 26873913 30841413 33884499 70849407 113085181 259781159 339255543 545728091 779343477 1637184273 6003009001 12551746093 15826114639 18009027003 37655238279 47478343917 138069207023 174087261029 364000636697 414207621069 522261783087 1092001910091 4004007003667 12012021011001