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12120202010020 = 22513283487338237
BaseRepresentation
bin1011000001011111010001…
…0101011101110110100100
31120220200100201100212221111
42300113310111131312210
53042034133203310040
641435535520154404
72360440622153266
oct260276425356644
946820321325844
1012120202010020
113953170075055
121438b87168a04
1369bc126b60c0
142dc899aabb36
1516041a9cadea
hexb05f455dda4

12120202010020 has 96 divisors (see below), whose sum is σ = 27563723566848. Its totient is φ = 4450168346112.

The previous prime is 12120202009913. The next prime is 12120202010023. The reversal of 12120202010020 is 2001020202121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (12120202010023) 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, 35664342 + ... + 36002578.

It is an arithmetic number, because the mean of its divisors is an integer number (287122120488).

Almost surely, 212120202010020 is an apocalyptic number.

12120202010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120202010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13781861783424).

12120202010020 is an abundant number, since it is smaller than the sum of its proper divisors (15443521556828).

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

12120202010020 is a wasteful number, since it uses less digits than its factorization.

12120202010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339029 (or 339027 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12120202010020 its reverse (2001020202121), we get a palindrome (14121222212141).

The spelling of 12120202010020 in words is "twelve trillion, one hundred twenty billion, two hundred two million, ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 283 487 566 974 1132 1415 1948 2435 2830 3679 4870 5660 6331 7358 9740 12662 14716 18395 25324 31655 36790 63310 73580 126620 137821 275642 338237 551284 676474 689105 1352948 1378210 1691185 1791673 2756420 3382370 3583346 4397081 6764740 7166692 8794162 8958365 17588324 17916730 21985405 35833460 43970810 87941620 95721071 164721419 191442142 329442838 382884284 478605355 658885676 823607095 957210710 1244373923 1647214190 1914421420 2141378447 2488747846 3294428380 4282756894 4977495692 6221869615 8565513788 10706892235 12443739230 21413784470 24887478460 42827568940 46616161577 93232323154 186464646308 233080807885 466161615770 606010100501 932323231540 1212020201002 2424040402004 3030050502505 6060101005010 12120202010020