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12120021021200 = 2452611182741999
BaseRepresentation
bin1011000001011110100110…
…0011000011001000010000
31120220122220002210200221212
42300113221203003020100
53042033300340134300
641435505533035252
72360433263606141
oct260275143031020
946818802720855
1012120021021200
113953087997514
121438b36625b28
1369bbb4057121
142dc87da37ac8
15160409b79935
hexb05e98c3210

12120021021200 has 120 divisors (see below), whose sum is σ = 29598907632000. Its totient is φ = 4768016140800.

The previous prime is 12120021021193. The next prime is 12120021021211. The reversal of 12120021021200 is 212012002121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288557801 + ... + 288599799.

It is an arithmetic number, because the mean of its divisors is an integer number (246657563600).

Almost surely, 212120021021200 is an apocalyptic number.

12120021021200 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 12120021021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14799453816000).

12120021021200 is an abundant number, since it is smaller than the sum of its proper divisors (17478886610800).

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

12120021021200 is a wasteful number, since it uses less digits than its factorization.

12120021021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53905 (or 53894 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12120021021200 its reverse (212012002121), we get a palindrome (12332033023321).

The spelling of 12120021021200 in words is "twelve trillion, one hundred twenty billion, twenty-one million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 200 244 305 400 488 610 976 1220 1525 2440 3050 4880 6100 11827 12200 23654 24400 41999 47308 59135 83998 94616 118270 167996 189232 209995 236540 295675 335992 419990 473080 591350 671984 721447 839980 946160 1049975 1182700 1442894 1679960 2099950 2365400 2561939 2885788 3359920 3607235 4199900 4730800 5123878 5771576 7214470 8399800 10247756 11543152 12809695 14428940 16799600 18036175 20495512 25619390 28857880 36072350 40991024 51238780 57715760 64048475 72144700 102477560 128096950 144289400 204955120 256193900 288578800 496722173 512387800 993444346 1024775600 1986888692 2483610865 3973777384 4967221730 7947554768 9934443460 12418054325 19868886920 24836108650 30300052553 39737773840 49672217300 60600105106 99344434600 121200210212 151500262765 198688869200 242400420424 303000525530 484800840848 606001051060 757501313825 1212002102120 1515002627650 2424004204240 3030005255300 6060010510600 12120021021200