Search a number
-
+
12020001201021 = 3112193917444929
BaseRepresentation
bin1010111011101001111111…
…1001101101101101111101
31120120002201112212101112110
42232322133321231231331
53033413430301413041
641321525021124233
72350262556300642
oct256723771555575
946502645771473
1012020001201021
113914721354200
1214216820b9679
136926343c8088
142d7ab20d7dc9
1515ca03d27516
hexaee9fe6db7d

12020001201021 has 48 divisors (see below), whose sum is σ = 18548028273600. Its totient is φ = 6899658670080.

The previous prime is 12020001200989. The next prime is 12020001201071. The reversal of 12020001201021 is 12010210002021.

It is not a de Polignac number, because 12020001201021 - 25 = 12020001200989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12020001200988 and 12020001201006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020001201071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26793085 + ... + 27238013.

It is an arithmetic number, because the mean of its divisors is an integer number (386417255700).

Almost surely, 212020001201021 is an apocalyptic number.

12020001201021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12020001201021 is a deficient number, since it is larger than the sum of its proper divisors (6528027072579).

12020001201021 is a wasteful number, since it uses less digits than its factorization.

12020001201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448890 (or 448879 counting only the distinct ones).

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

Adding to 12020001201021 its reverse (12010210002021), we get a palindrome (24030211203042).

The spelling of 12020001201021 in words is "twelve trillion, twenty billion, one million, two hundred one thousand, twenty-one".

Divisors: 1 3 11 19 33 57 121 209 363 627 2299 3917 6897 11751 43087 74423 129261 223269 444929 473957 818653 1334787 1421871 2455959 4894219 8453651 9005183 14682657 25360953 27015549 53836409 92990161 161509227 278970483 1022891771 1742786893 3068675313 5228360679 19170655823 33112950967 57511967469 99338852901 210877214053 364242460637 632631642159 1092727381911 4006667067007 12020001201021