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12002221210020 = 22351391817950913
BaseRepresentation
bin1010111010100111110000…
…1000011011100110100100
31120111101211102200021010020
42232221330020123212210
53033121022112210040
641305424434155140
72346063142000326
oct256517410334644
946441742607106
1012002221210020
113908127a80868
12141a13b722ab0
13690a5c939342
142d6ca69bb616
1515c312e2bcd0
hexaea7c21b9a4

12002221210020 has 96 divisors (see below), whose sum is σ = 34035000504960. Its totient is φ = 3160010465280.

The previous prime is 12002221210019. The next prime is 12002221210033. The reversal of 12002221210020 is 2001212220021.

12002221210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2465917 + ... + 5484996.

It is an arithmetic number, because the mean of its divisors is an integer number (354531255260).

Almost surely, 212002221210020 is an apocalyptic number.

12002221210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002221210020 is an abundant number, since it is smaller than the sum of its proper divisors (22032779294940).

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

12002221210020 is a wasteful number, since it uses less digits than its factorization.

12002221210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7951245 (or 7951243 counting only the distinct ones).

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

Adding to 12002221210020 its reverse (2001212220021), we get a palindrome (14003433430041).

The spelling of 12002221210020 in words is "twelve trillion, two billion, two hundred twenty-one million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 181 278 362 417 543 556 695 724 834 905 1086 1390 1668 1810 2085 2172 2715 2780 3620 4170 5430 8340 10860 25159 50318 75477 100636 125795 150954 251590 301908 377385 503180 754770 1509540 7950913 15901826 23852739 31803652 39754565 47705478 79509130 95410956 119263695 159018260 238527390 477054780 1105176907 1439115253 2210353814 2878230506 3315530721 4317345759 4420707628 5525884535 5756461012 6631061442 7195576265 8634691518 11051769070 13262122884 14391152530 16577653605 17269383036 21586728795 22103538140 28782305060 33155307210 43173457590 66310614420 86346915180 200037020167 400074040334 600111060501 800148080668 1000185100835 1200222121002 2000370201670 2400444242004 3000555302505 4000740403340 6001110605010 12002221210020