Search a number
-
+
12002022121020 = 22352350391725961
BaseRepresentation
bin1010111010100111000001…
…0000111101111000111100
31120111101022120001111100120
42232221300100331320330
53033120120130333040
641305353003054540
72346055203526041
oct256516020757074
946441276044316
1012002022121020
1139080356602a8
12141a0a4b11450
13690a2a6108b9
142d6c883951c8
1515c3007027d0
hexaea7043de3c

12002022121020 has 96 divisors (see below), whose sum is σ = 35073757071360. Its totient is φ = 3060776040960.

The previous prime is 12002022121007. The next prime is 12002022121021. The reversal of 12002022121020 is 2012122020021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002022121021) 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 31 ways as a sum of consecutive naturals, for example, 6090840 + ... + 7816800.

It is an arithmetic number, because the mean of its divisors is an integer number (365351636160).

Almost surely, 212002022121020 is an apocalyptic number.

12002022121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002022121020 is an abundant number, since it is smaller than the sum of its proper divisors (23071734950340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12002022121020 is a wasteful number, since it uses less digits than its factorization.

12002022121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731035 (or 1731033 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12002022121020 its reverse (2012122020021), we get a palindrome (14014144141041).

The spelling of 12002022121020 in words is "twelve trillion, two billion, twenty-two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 5039 10078 15117 20156 25195 30234 50390 60468 75585 100780 115897 151170 231794 302340 347691 463588 579485 695382 1158970 1390764 1725961 1738455 2317940 3451922 3476910 5177883 6903844 6953820 8629805 10355766 17259610 20711532 25889415 34519220 39697103 51778830 79394206 103557660 119091309 158788412 198485515 238182618 396971030 476365236 595456545 793942060 1190913090 2381826180 8697117479 17394234958 26091352437 34788469916 43485587395 52182704874 86971174790 104365409748 130456762185 173942349580 200033702017 260913524370 400067404034 521827048740 600101106051 800134808068 1000168510085 1200202212102 2000337020170 2400404424204 3000505530255 4000674040340 6001011060510 12002022121020